Comparing Linear, Quadratic, Polynomial, Exponential Growth
Algebra 1 · Flashcards
ALGEBRA 1 · FLASHCARDS
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QUESTION
Which eventually becomes larger as
x
→
∞
x\to\infty
x
→
∞
:
0.5
x
2
0.5x^2
0.5
x
2
or
3
x
3^x
3
x
?
QUESTION
What does "eventually exceeds" mean when comparing
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
?
QUESTION
Which increases by multiplication:
f
(
x
)
=
8
⋅
(
1.3
)
x
f(x)=8\cdot(1.3)^x
f
(
x
)
=
8
⋅
(
1.3
)
x
or
g
(
x
)
=
8
x
+
1.3
g(x)=8x+1.3
g
(
x
)
=
8
x
+
1.3
?
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ANSWER
f
(
x
)
=
8
⋅
(
1.3
)
x
f(x)=8\cdot(1.3)^x
f
(
x
)
=
8
⋅
(
1.3
)
x
. Exponential form multiplies by base; linear form adds slope.
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