Comparing Exponential, Linear, and Quadratic Growth Answers

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Consider the function y = 15x. How do the y-values of this function grow?

A
by adding 15
B
by multiplying the previous y-value by 15
C
by adding 15, then 30, then 45…
3

Which function grows the fastest? the linear functionthe quadratic function✔ the exponential function

A
the linear function
B
the quadratic function
C
✔ the exponential function
4

Which function grows the slowest?✔ the linear functionthe quadratic functionthe exponential function

A
✔ the linear function
B
the quadratic function
C
the exponential function
5

Consider the function y = 3x2. How do the y-values of this function grow?

A
by adding 3
B
by adding 9
C
by multiplying the previous y-value by 3
D
by adding 3, then 9, then 15, …
9

Compare the functions y = 2x2 and y = 2x. Which of the following statements are true? Check all that apply.

A
For any x-value, the y-value of the exponential function is always greater.
B
For any x-value, the y-value of the exponential function is always smaller.
C
For some x-values, the y-value of the exponential function is smaller.
D
For some x-values, the y-value of the exponential function is greater.
E
For any x-value greater than 7, the y-value of the exponential function is greater.
F
For equal intervals, the y-values of both functions have a common ratio.
10

Consider the function y = 8x. How do the y-values of this function grow?

A
by adding 8
B
by multiplying the previous y-value by 8
C
by adding 8, then 16, then 32…
14

Compared to an exponential function y = b, where b > 0, a quadratic function grows:

Question illustration
A
slower
B
faster
C
at the same rate
D
sometimes faster, sometimes slower

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