AP Precalculus Flashcards: Polynomial Functions And End Behavior

Study Polynomial Functions And End Behavior in AP Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

AP Precalculus

Polynomial Functions And End Behavior

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QUESTION

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State the y-intercept of $f(x) = -3x^3 + 4x^2 - x + 6$ .

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ANSWER

Evaluate $f(0)$ to find y-intercept.

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What this deck covers

This deck focuses on Polynomial Functions And End Behavior, giving you a quick way to review the definitions, rules, and examples that matter most for AP Precalculus.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

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Flashcard 1: State the y-intercept of $f(x) = -3x^3 + 4x^2 - x + 6$ .

Answer:

Evaluate $f(0)$ to find y-intercept.

Flashcard 2: What is the degree of $f(x) = -x^2 + 4x - 1$ ?

Answer:

The highest power of x.

Flashcard 3: What is the end behavior of $f(x) = -4x^3 + 2x - 5$ as $x \to -\text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Odd degree with negative leading coefficient: $x \to -\infty$ gives $f(x) \to +\infty$ .

Flashcard 4: What is the end behavior of $f(x) = x^7 - x^5 + x$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Odd degree with positive leading coefficient goes to $+\infty$ .

Flashcard 5: State the constant term in $f(x) = 3x^5 - 5x^3 + 2$ .

Answer:

The term without any variable.

Flashcard 6: What is the degree of $f(x) = 4x^5 - 9$ ?

Answer:

The highest power of x.

Flashcard 7: State the leading coefficient of $f(x) = -2x^3 + 4x^2 - x + 5$ .

Answer: -2. The coefficient of the highest degree term.

Flashcard 8: What is the end behavior of $f(x) = 5x^2 - 3x + 1$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Even degree with positive leading coefficient goes to $+\infty$ .

Flashcard 9: Find the leading coefficient of $f(x) = 7x^5 - 4x^3 + x^2 - 8$ .

Answer:

The coefficient of the highest degree term.

Flashcard 10: Determine the degree of $f(x) = 9x^6 - 7x^4 + 3x^2$ .

Answer:

The highest power of x.

Flashcard 11: What is the end behavior of $f(x) = -4x^3 + 2x - 5$ as $x \to -\text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Odd degree with negative leading coefficient: $x \to -\infty$ gives $f(x) \to +\infty$ .

Flashcard 12: Identify the constant term in $f(x) = 4x^3 - x^2 + 6x - 9$ .

Answer: -9. The term without any variable.

Flashcard 13: State the polynomial type for $f(x) = x^3 - 4x + 2$ .

Answer: Cubic polynomial. Degree 3 polynomials are called cubic.

Flashcard 14: What is the end behavior of $f(x) = 3x^2 - 7x + 4$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Even degree with positive leading coefficient goes to $+\infty$ .

Flashcard 15: Determine the multiplicity of root $x = -1$ in $f(x) = (x+1)^2(x-2)$ .

Answer:

The exponent on factor $(x+1)$ .

Flashcard 16: What is the end behavior of $f(x) = -3x^4 + 6x^2 - 9$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to -\text{infinity}$ . Even degree with negative leading coefficient goes to $-\infty$ .

Flashcard 17: What is the axis of symmetry for $f(x) = x^2 - 4x + 3$ ?

Answer: $x = 2$ . For quadratic $ax^2 + bx + c$ , axis is $x = -\frac{b}{2a}$ .

Flashcard 18: What is the y-intercept of $f(x) = 2x^4 - 3x^2 + 7$ ?

Answer:

Evaluate $f(0)$ to find y-intercept.

Flashcard 19: What is the end behavior of $f(x) = 5x^2 - 3x + 1$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Even degree with positive leading coefficient goes to $+\infty$ .

Flashcard 20: What is the leading term of $f(x) = x^8 - 3x^5 + 2x - 9$ ?

Answer: x^8. The term with highest degree and its coefficient.

Flashcard 21: What is the end behavior of $f(x) = 3x^2 - 7x + 4$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Even degree with positive leading coefficient goes to $+\infty$ .

Flashcard 22: State the end behavior of $f(x) = -x^6 + 2x^4 - 5$ as $x \to \text{infinity}$ .

Answer: $f(x) \to -\text{infinity}$ . Even degree with negative leading coefficient goes to $-\infty$ .

Flashcard 23: Identify the y-intercept in $f(x) = 6x^4 - x^2 + 2$ .

Answer:

Evaluate $f(0)$ to find y-intercept.

Flashcard 24: Identify the y-intercept in $f(x) = 6x^4 - x^2 + 2$ .

Answer:

Evaluate $f(0)$ to find y-intercept.

Flashcard 25: What is the leading coefficient of $f(x) = 10x^3 - 5x^2 + 7$ ?

Answer:

The coefficient of the highest degree term.

Flashcard 26: What is the axis of symmetry for $f(x) = x^2 - 4x + 3$ ?

Answer: $x = 2$ . For quadratic $ax^2 + bx + c$ , axis is $x = -\frac{b}{2a}$ .

Flashcard 27: Find the end behavior of $f(x) = 7x^2 - 4x + 1$ as $x \to -\text{infinity}$ .

Answer: $f(x) \to \text{infinity}$ . Even degree with positive leading coefficient goes to $+\infty$ .

Flashcard 28: What is the leading term of $f(x) = x^8 - 3x^5 + 2x - 9$ ?

Answer: x^8. The term with highest degree and its coefficient.

Flashcard 29: Identify the constant term in $f(x) = 4x^3 - x^2 + 6x - 9$ .

Answer: -9. The term without any variable.

Flashcard 30: Determine the multiplicity of root $x = -1$ in $f(x) = (x+1)^2(x-2)$ .

Answer:

The exponent on factor $(x+1)$ .

Flashcard 31: State the end behavior of $f(x) = x^6 - 4x^3 + 5$ as $x \to -\text{infinity}$ .

Answer: $f(x) \to \text{infinity}$ . Even degree with positive leading coefficient goes to $+\infty$ .

Flashcard 32: State the y-intercept of $f(x) = -3x^3 + 4x^2 - x + 6$ .

Answer:

Evaluate $f(0)$ to find y-intercept.

Flashcard 33: What is the degree of $f(x) = 4x^5 - 9$ ?

Answer:

The highest power of x.

Flashcard 34: State the end behavior of $f(x) = -x^6 + 2x^4 - 5$ as $x \to \text{infinity}$ .

Answer: $f(x) \to -\text{infinity}$ . Even degree with negative leading coefficient goes to $-\infty$ .

Flashcard 35: Determine the degree of $f(x) = 9x^6 - 7x^4 + 3x^2$ .

Answer:

The highest power of x.

Flashcard 36: Identify the leading term in $f(x) = 6x^7 - 3x^5 + 2x - 8$ .

Answer: 6x^7. The term with highest degree and its coefficient.

Flashcard 37: Find the leading coefficient of $f(x) = 7x^5 - 4x^3 + x^2 - 8$ .

Answer:

The coefficient of the highest degree term.

Flashcard 38: What is the end behavior of $f(x) = -x^5 + 3x^2 - 7$ as $x \to -\text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Odd degree with negative leading coefficient: $x \to -\infty$ gives $f(x) \to +\infty$ .

Flashcard 39: What is the degree of $f(x) = -x^2 + 4x - 1$ ?

Answer:

The highest power of x.

Flashcard 40: What is the leading coefficient of $f(x) = 10x^3 - 5x^2 + 7$ ?

Answer:

The coefficient of the highest degree term.

Flashcard 41: What is the end behavior of $f(x) = x^7 - x^5 + x$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Odd degree with positive leading coefficient goes to $+\infty$ .

Flashcard 42: What is the degree of the polynomial $f(x) = 3x^4 - 5x^3 + 2x^2 - x + 7$ ?

Answer:

The highest power of x determines the degree.

Flashcard 43: State the number of real roots for $f(x) = x^4 - 1$ .

Answer:

Factor as $(x^2-1) = (x-1)(x+1)$ to find roots $\pm 1$ .

Flashcard 44: What is the degree of $f(x) = x^7 - 2x^4 + x^2$ ?

Answer:

The highest power of x.

Flashcard 45: Identify the constant term in $f(x) = 5x^3 - 2x + 7$ .

Answer:

The term without any variable.

Flashcard 46: State the end behavior of $f(x) = x^9 - x^5$ as $x \to -\text{infinity}$ .

Answer: $f(x) \to -\text{infinity}$ . Odd degree with positive leading coefficient: $x \to -\infty$ gives $f(x) \to -\infty$ .

Flashcard 47: State the end behavior of $f(x) = x^9 - x^5$ as $x \to -\text{infinity}$ .

Answer: $f(x) \to -\text{infinity}$ . Odd degree with positive leading coefficient: $x \to -\infty$ gives $f(x) \to -\infty$ .

Flashcard 48: What is the degree of $f(x) = x^7 - 2x^4 + x^2$ ?

Answer:

The highest power of x.

Flashcard 49: Identify the constant term in $f(x) = 5x^3 - 2x + 7$ .

Answer:

The term without any variable.

Flashcard 50: Identify the degree of polynomial $f(x) = -5x^7 + 2x^4 - x$ .

Answer: $7$ . The highest power of x.

Flashcard 51: State the polynomial function given roots $x = 1$ , $x = -2$ , and $x = 3$ .

Answer: $(x-1)(x+2)(x-3)$ . Use $(x-r)$ for each root r.

Flashcard 52: State the end behavior of $f(x) = x^6 - 4x^3 + 5$ as $x \to -\text{infinity}$ .

Answer: $f(x) \to \text{infinity}$ . Even degree with positive leading coefficient goes to $+\infty$ .

Flashcard 53: Identify the degree of polynomial $f(x) = -5x^7 + 2x^4 - x$ .

Answer: $7$ . The highest power of x.

Flashcard 54: State the leading coefficient of $f(x) = -8x^4 + 2x^3 - x + 1$ .

Answer: -8. The coefficient of the highest degree term.

Flashcard 55: State the constant term in $f(x) = 3x^5 - 5x^3 + 2$ .

Answer:

The term without any variable.

Flashcard 56: What is the end behavior of $f(x) = -3x^4 + 6x^2 - 9$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to -\text{infinity}$ . Even degree with negative leading coefficient goes to $-\infty$ .

Flashcard 57: Find the end behavior of $f(x) = 7x^2 - 4x + 1$ as $x \to -\text{infinity}$ .

Answer: $f(x) \to \text{infinity}$ . Even degree with positive leading coefficient goes to $+\infty$ .

Flashcard 58: Determine the multiplicity of root $x = 2$ in $f(x) = (x-2)^3(x+1)$ .

Answer:

The exponent on factor $(x-2)$ .

Flashcard 59: Identify the leading term in $f(x) = 6x^7 - 3x^5 + 2x - 8$ .

Answer: 6x^7. The term with highest degree and its coefficient.

Flashcard 60: Determine the multiplicity of root $x = 2$ in $f(x) = (x-2)^3(x+1)$ .

Answer:

The exponent on factor $(x-2)$ .

Flashcard 61: State the leading coefficient of $f(x) = -2x^3 + 4x^2 - x + 5$ .

Answer: -2. The coefficient of the highest degree term.

Flashcard 62: State the polynomial type for $f(x) = x^3 - 4x + 2$ .

Answer: Cubic polynomial. Degree 3 polynomials are called cubic.

Flashcard 63: What is the end behavior of $f(x) = 2x^3 - 4x + 1$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Odd degree with positive leading coefficient goes to $+\infty$ .

Flashcard 64: What is the end behavior of $f(x) = 2x^3 - 4x + 1$ as $x \to \text{infinity}$ ?

Answer: $f(x) \to \text{infinity}$ . Odd degree with positive leading coefficient goes to $+\infty$ .

AP Precalculus Flashcards: Polynomial Functions And End Behavior

Polynomial Functions And End Behavior

What this deck covers

How to use these flashcards

All flashcards

Flashcard 1: State the y-intercept of f(x)=−3x3+4x2−x+6f(x) = -3x^3 + 4x^2 - x + 6f(x)=−3x3+4x2−x+6.

Flashcard 2: What is the degree of f(x)=−x2+4x−1f(x) = -x^2 + 4x - 1f(x)=−x2+4x−1?

Flashcard 3: What is the end behavior of f(x)=−4x3+2x−5f(x) = -4x^3 + 2x - 5f(x)=−4x3+2x−5 as x→−infinityx \to -\text{infinity}x→−infinity?

Flashcard 4: What is the end behavior of f(x)=x7−x5+xf(x) = x^7 - x^5 + xf(x)=x7−x5+x as x→infinityx \to \text{infinity}x→infinity?

Flashcard 5: State the constant term in f(x)=3x5−5x3+2f(x) = 3x^5 - 5x^3 + 2f(x)=3x5−5x3+2.

Flashcard 6: What is the degree of f(x)=4x5−9f(x) = 4x^5 - 9f(x)=4x5−9?

Flashcard 7: State the leading coefficient of f(x)=−2x3+4x2−x+5f(x) = -2x^3 + 4x^2 - x + 5f(x)=−2x3+4x2−x+5.

Flashcard 8: What is the end behavior of f(x)=5x2−3x+1f(x) = 5x^2 - 3x + 1f(x)=5x2−3x+1 as x→infinityx \to \text{infinity}x→infinity?

Flashcard 9: Find the leading coefficient of f(x)=7x5−4x3+x2−8f(x) = 7x^5 - 4x^3 + x^2 - 8f(x)=7x5−4x3+x2−8.

Flashcard 10: Determine the degree of f(x)=9x6−7x4+3x2f(x) = 9x^6 - 7x^4 + 3x^2f(x)=9x6−7x4+3x2.

Flashcard 11: What is the end behavior of f(x)=−4x3+2x−5f(x) = -4x^3 + 2x - 5f(x)=−4x3+2x−5 as x→−infinityx \to -\text{infinity}x→−infinity?

Flashcard 12: Identify the constant term in f(x)=4x3−x2+6x−9f(x) = 4x^3 - x^2 + 6x - 9f(x)=4x3−x2+6x−9.

Flashcard 13: State the polynomial type for f(x)=x3−4x+2f(x) = x^3 - 4x + 2f(x)=x3−4x+2.

Flashcard 14: What is the end behavior of f(x)=3x2−7x+4f(x) = 3x^2 - 7x + 4f(x)=3x2−7x+4 as x→infinityx \to \text{infinity}x→infinity?

Flashcard 15: Determine the multiplicity of root x=−1x = -1x=−1 in f(x)=(x+1)2(x−2)f(x) = (x+1)^2(x-2)f(x)=(x+1)2(x−2).

Flashcard 16: What is the end behavior of f(x)=−3x4+6x2−9f(x) = -3x^4 + 6x^2 - 9f(x)=−3x4+6x2−9 as x→infinityx \to \text{infinity}x→infinity?

Flashcard 17: What is the axis of symmetry for f(x)=x2−4x+3f(x) = x^2 - 4x + 3f(x)=x2−4x+3?

Flashcard 18: What is the y-intercept of f(x)=2x4−3x2+7f(x) = 2x^4 - 3x^2 + 7f(x)=2x4−3x2+7?

Flashcard 19: What is the end behavior of f(x)=5x2−3x+1f(x) = 5x^2 - 3x + 1f(x)=5x2−3x+1 as x→infinityx \to \text{infinity}x→infinity?

Flashcard 20: What is the leading term of f(x)=x8−3x5+2x−9f(x) = x^8 - 3x^5 + 2x - 9f(x)=x8−3x5+2x−9?

Flashcard 21: What is the end behavior of f(x)=3x2−7x+4f(x) = 3x^2 - 7x + 4f(x)=3x2−7x+4 as x→infinityx \to \text{infinity}x→infinity?

Flashcard 22: State the end behavior of f(x)=−x6+2x4−5f(x) = -x^6 + 2x^4 - 5f(x)=−x6+2x4−5 as x→infinityx \to \text{infinity}x→infinity.

Flashcard 23: Identify the y-intercept in f(x)=6x4−x2+2f(x) = 6x^4 - x^2 + 2f(x)=6x4−x2+2.

Flashcard 24: Identify the y-intercept in f(x)=6x4−x2+2f(x) = 6x^4 - x^2 + 2f(x)=6x4−x2+2.

Flashcard 25: What is the leading coefficient of f(x)=10x3−5x2+7f(x) = 10x^3 - 5x^2 + 7f(x)=10x3−5x2+7?

Flashcard 26: What is the axis of symmetry for f(x)=x2−4x+3f(x) = x^2 - 4x + 3f(x)=x2−4x+3?

Flashcard 27: Find the end behavior of f(x)=7x2−4x+1f(x) = 7x^2 - 4x + 1f(x)=7x2−4x+1 as x→−infinityx \to -\text{infinity}x→−infinity.

Flashcard 28: What is the leading term of f(x)=x8−3x5+2x−9f(x) = x^8 - 3x^5 + 2x - 9f(x)=x8−3x5+2x−9?

Flashcard 29: Identify the constant term in f(x)=4x3−x2+6x−9f(x) = 4x^3 - x^2 + 6x - 9f(x)=4x3−x2+6x−9.

Flashcard 30: Determine the multiplicity of root x=−1x = -1x=−1 in f(x)=(x+1)2(x−2)f(x) = (x+1)^2(x-2)f(x)=(x+1)2(x−2).

Flashcard 31: State the end behavior of f(x)=x6−4x3+5f(x) = x^6 - 4x^3 + 5f(x)=x6−4x3+5 as x→−infinityx \to -\text{infinity}x→−infinity.

Flashcard 32: State the y-intercept of f(x)=−3x3+4x2−x+6f(x) = -3x^3 + 4x^2 - x + 6f(x)=−3x3+4x2−x+6.

Flashcard 33: What is the degree of f(x)=4x5−9f(x) = 4x^5 - 9f(x)=4x5−9?

Flashcard 34: State the end behavior of f(x)=−x6+2x4−5f(x) = -x^6 + 2x^4 - 5f(x)=−x6+2x4−5 as x→infinityx \to \text{infinity}x→infinity.

Flashcard 35: Determine the degree of f(x)=9x6−7x4+3x2f(x) = 9x^6 - 7x^4 + 3x^2f(x)=9x6−7x4+3x2.

Flashcard 36: Identify the leading term in f(x)=6x7−3x5+2x−8f(x) = 6x^7 - 3x^5 + 2x - 8f(x)=6x7−3x5+2x−8.

Flashcard 37: Find the leading coefficient of f(x)=7x5−4x3+x2−8f(x) = 7x^5 - 4x^3 + x^2 - 8f(x)=7x5−4x3+x2−8.

Flashcard 38: What is the end behavior of f(x)=−x5+3x2−7f(x) = -x^5 + 3x^2 - 7f(x)=−x5+3x2−7 as x→−infinityx \to -\text{infinity}x→−infinity?

Flashcard 39: What is the degree of f(x)=−x2+4x−1f(x) = -x^2 + 4x - 1f(x)=−x2+4x−1?

Flashcard 40: What is the leading coefficient of f(x)=10x3−5x2+7f(x) = 10x^3 - 5x^2 + 7f(x)=10x3−5x2+7?

Flashcard 41: What is the end behavior of f(x)=x7−x5+xf(x) = x^7 - x^5 + xf(x)=x7−x5+x as x→infinityx \to \text{infinity}x→infinity?

Flashcard 42: What is the degree of the polynomial f(x)=3x4−5x3+2x2−x+7f(x) = 3x^4 - 5x^3 + 2x^2 - x + 7f(x)=3x4−5x3+2x2−x+7?

Flashcard 43: State the number of real roots for f(x)=x4−1f(x) = x^4 - 1f(x)=x4−1.

Flashcard 44: What is the degree of f(x)=x7−2x4+x2f(x) = x^7 - 2x^4 + x^2f(x)=x7−2x4+x2?

Flashcard 45: Identify the constant term in f(x)=5x3−2x+7f(x) = 5x^3 - 2x + 7f(x)=5x3−2x+7.

Flashcard 46: State the end behavior of f(x)=x9−x5f(x) = x^9 - x^5f(x)=x9−x5 as x→−infinityx \to -\text{infinity}x→−infinity.

Flashcard 47: State the end behavior of f(x)=x9−x5f(x) = x^9 - x^5f(x)=x9−x5 as x→−infinityx \to -\text{infinity}x→−infinity.

Flashcard 48: What is the degree of f(x)=x7−2x4+x2f(x) = x^7 - 2x^4 + x^2f(x)=x7−2x4+x2?

Flashcard 49: Identify the constant term in f(x)=5x3−2x+7f(x) = 5x^3 - 2x + 7f(x)=5x3−2x+7.

Flashcard 50: Identify the degree of polynomial f(x)=−5x7+2x4−xf(x) = -5x^7 + 2x^4 - xf(x)=−5x7+2x4−x.

Flashcard 51: State the polynomial function given roots x=1x = 1x=1, x=−2x = -2x=−2, and x=3x = 3x=3.

Flashcard 52: State the end behavior of f(x)=x6−4x3+5f(x) = x^6 - 4x^3 + 5f(x)=x6−4x3+5 as x→−infinityx \to -\text{infinity}x→−infinity.

Flashcard 53: Identify the degree of polynomial f(x)=−5x7+2x4−xf(x) = -5x^7 + 2x^4 - xf(x)=−5x7+2x4−x.

Flashcard 54: State the leading coefficient of f(x)=−8x4+2x3−x+1f(x) = -8x^4 + 2x^3 - x + 1f(x)=−8x4+2x3−x+1.

Flashcard 55: State the constant term in f(x)=3x5−5x3+2f(x) = 3x^5 - 5x^3 + 2f(x)=3x5−5x3+2.

Flashcard 56: What is the end behavior of f(x)=−3x4+6x2−9f(x) = -3x^4 + 6x^2 - 9f(x)=−3x4+6x2−9 as x→infinityx \to \text{infinity}x→infinity?

Flashcard 57: Find the end behavior of f(x)=7x2−4x+1f(x) = 7x^2 - 4x + 1f(x)=7x2−4x+1 as x→−infinityx \to -\text{infinity}x→−infinity.

Flashcard 58: Determine the multiplicity of root x=2x = 2x=2 in f(x)=(x−2)3(x+1)f(x) = (x-2)^3(x+1)f(x)=(x−2)3(x+1).

Flashcard 59: Identify the leading term in f(x)=6x7−3x5+2x−8f(x) = 6x^7 - 3x^5 + 2x - 8f(x)=6x7−3x5+2x−8.

Flashcard 60: Determine the multiplicity of root x=2x = 2x=2 in f(x)=(x−2)3(x+1)f(x) = (x-2)^3(x+1)f(x)=(x−2)3(x+1).

Flashcard 61: State the leading coefficient of f(x)=−2x3+4x2−x+5f(x) = -2x^3 + 4x^2 - x + 5f(x)=−2x3+4x2−x+5.

Flashcard 62: State the polynomial type for f(x)=x3−4x+2f(x) = x^3 - 4x + 2f(x)=x3−4x+2.

Flashcard 63: What is the end behavior of f(x)=2x3−4x+1f(x) = 2x^3 - 4x + 1f(x)=2x3−4x+1 as x→infinityx \to \text{infinity}x→infinity?

Flashcard 64: What is the end behavior of f(x)=2x3−4x+1f(x) = 2x^3 - 4x + 1f(x)=2x3−4x+1 as x→infinityx \to \text{infinity}x→infinity?

Flashcard 1: State the y-intercept of $f(x) = -3x^3 + 4x^2 - x + 6$ .

Flashcard 2: What is the degree of $f(x) = -x^2 + 4x - 1$ ?

Flashcard 3: What is the end behavior of $f(x) = -4x^3 + 2x - 5$ as $x \to -\text{infinity}$ ?

Flashcard 4: What is the end behavior of $f(x) = x^7 - x^5 + x$ as $x \to \text{infinity}$ ?

Flashcard 5: State the constant term in $f(x) = 3x^5 - 5x^3 + 2$ .

Flashcard 6: What is the degree of $f(x) = 4x^5 - 9$ ?

Flashcard 7: State the leading coefficient of $f(x) = -2x^3 + 4x^2 - x + 5$ .

Flashcard 8: What is the end behavior of $f(x) = 5x^2 - 3x + 1$ as $x \to \text{infinity}$ ?

Flashcard 9: Find the leading coefficient of $f(x) = 7x^5 - 4x^3 + x^2 - 8$ .

Flashcard 10: Determine the degree of $f(x) = 9x^6 - 7x^4 + 3x^2$ .

Flashcard 11: What is the end behavior of $f(x) = -4x^3 + 2x - 5$ as $x \to -\text{infinity}$ ?

Flashcard 12: Identify the constant term in $f(x) = 4x^3 - x^2 + 6x - 9$ .

Flashcard 13: State the polynomial type for $f(x) = x^3 - 4x + 2$ .

Flashcard 14: What is the end behavior of $f(x) = 3x^2 - 7x + 4$ as $x \to \text{infinity}$ ?

Flashcard 15: Determine the multiplicity of root $x = -1$ in $f(x) = (x+1)^2(x-2)$ .

Flashcard 16: What is the end behavior of $f(x) = -3x^4 + 6x^2 - 9$ as $x \to \text{infinity}$ ?

Flashcard 17: What is the axis of symmetry for $f(x) = x^2 - 4x + 3$ ?

Flashcard 18: What is the y-intercept of $f(x) = 2x^4 - 3x^2 + 7$ ?

Flashcard 19: What is the end behavior of $f(x) = 5x^2 - 3x + 1$ as $x \to \text{infinity}$ ?

Flashcard 20: What is the leading term of $f(x) = x^8 - 3x^5 + 2x - 9$ ?

Flashcard 21: What is the end behavior of $f(x) = 3x^2 - 7x + 4$ as $x \to \text{infinity}$ ?

Flashcard 22: State the end behavior of $f(x) = -x^6 + 2x^4 - 5$ as $x \to \text{infinity}$ .

Flashcard 23: Identify the y-intercept in $f(x) = 6x^4 - x^2 + 2$ .

Flashcard 24: Identify the y-intercept in $f(x) = 6x^4 - x^2 + 2$ .

Flashcard 25: What is the leading coefficient of $f(x) = 10x^3 - 5x^2 + 7$ ?

Flashcard 26: What is the axis of symmetry for $f(x) = x^2 - 4x + 3$ ?

Flashcard 27: Find the end behavior of $f(x) = 7x^2 - 4x + 1$ as $x \to -\text{infinity}$ .

Flashcard 28: What is the leading term of $f(x) = x^8 - 3x^5 + 2x - 9$ ?

Flashcard 29: Identify the constant term in $f(x) = 4x^3 - x^2 + 6x - 9$ .

Flashcard 30: Determine the multiplicity of root $x = -1$ in $f(x) = (x+1)^2(x-2)$ .

Flashcard 31: State the end behavior of $f(x) = x^6 - 4x^3 + 5$ as $x \to -\text{infinity}$ .

Flashcard 32: State the y-intercept of $f(x) = -3x^3 + 4x^2 - x + 6$ .

Flashcard 33: What is the degree of $f(x) = 4x^5 - 9$ ?

Flashcard 34: State the end behavior of $f(x) = -x^6 + 2x^4 - 5$ as $x \to \text{infinity}$ .

Flashcard 35: Determine the degree of $f(x) = 9x^6 - 7x^4 + 3x^2$ .

Flashcard 36: Identify the leading term in $f(x) = 6x^7 - 3x^5 + 2x - 8$ .

Flashcard 37: Find the leading coefficient of $f(x) = 7x^5 - 4x^3 + x^2 - 8$ .

Flashcard 38: What is the end behavior of $f(x) = -x^5 + 3x^2 - 7$ as $x \to -\text{infinity}$ ?

Flashcard 39: What is the degree of $f(x) = -x^2 + 4x - 1$ ?

Flashcard 40: What is the leading coefficient of $f(x) = 10x^3 - 5x^2 + 7$ ?

Flashcard 41: What is the end behavior of $f(x) = x^7 - x^5 + x$ as $x \to \text{infinity}$ ?

Flashcard 42: What is the degree of the polynomial $f(x) = 3x^4 - 5x^3 + 2x^2 - x + 7$ ?

Flashcard 43: State the number of real roots for $f(x) = x^4 - 1$ .

Flashcard 44: What is the degree of $f(x) = x^7 - 2x^4 + x^2$ ?

Flashcard 45: Identify the constant term in $f(x) = 5x^3 - 2x + 7$ .

Flashcard 46: State the end behavior of $f(x) = x^9 - x^5$ as $x \to -\text{infinity}$ .

Flashcard 47: State the end behavior of $f(x) = x^9 - x^5$ as $x \to -\text{infinity}$ .

Flashcard 48: What is the degree of $f(x) = x^7 - 2x^4 + x^2$ ?

Flashcard 49: Identify the constant term in $f(x) = 5x^3 - 2x + 7$ .

Flashcard 50: Identify the degree of polynomial $f(x) = -5x^7 + 2x^4 - x$ .

Flashcard 51: State the polynomial function given roots $x = 1$ , $x = -2$ , and $x = 3$ .

Flashcard 52: State the end behavior of $f(x) = x^6 - 4x^3 + 5$ as $x \to -\text{infinity}$ .

Flashcard 53: Identify the degree of polynomial $f(x) = -5x^7 + 2x^4 - x$ .

Flashcard 54: State the leading coefficient of $f(x) = -8x^4 + 2x^3 - x + 1$ .

Flashcard 55: State the constant term in $f(x) = 3x^5 - 5x^3 + 2$ .

Flashcard 56: What is the end behavior of $f(x) = -3x^4 + 6x^2 - 9$ as $x \to \text{infinity}$ ?

Flashcard 57: Find the end behavior of $f(x) = 7x^2 - 4x + 1$ as $x \to -\text{infinity}$ .

Flashcard 58: Determine the multiplicity of root $x = 2$ in $f(x) = (x-2)^3(x+1)$ .

Flashcard 59: Identify the leading term in $f(x) = 6x^7 - 3x^5 + 2x - 8$ .

Flashcard 60: Determine the multiplicity of root $x = 2$ in $f(x) = (x-2)^3(x+1)$ .

Flashcard 61: State the leading coefficient of $f(x) = -2x^3 + 4x^2 - x + 5$ .

Flashcard 62: State the polynomial type for $f(x) = x^3 - 4x + 2$ .

Flashcard 63: What is the end behavior of $f(x) = 2x^3 - 4x + 1$ as $x \to \text{infinity}$ ?

Flashcard 64: What is the end behavior of $f(x) = 2x^3 - 4x + 1$ as $x \to \text{infinity}$ ?