Comparing Linear, Quadratic, Polynomial, Exponential Growth
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Which grows faster for large
x
x
x
:
x
4
−
x
x^4-x
x
4
−
x
or
1.2
x
1.2^x
1.
2
x
?
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
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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