Comparing Exponential, Linear, and Quadratic Growth

Question 1

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

Revolt · Accepted Answer

slower

Question 2

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

Revolt · Accepted Answer

For some x-values, the y-value of the exponential function is smaller.; For some x-values, the y-value of the exponential function is greater.; For any x-value greater than 7, the y-value of the exponential function is greater.

Question 3

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

Revolt · Accepted Answer

✔ the linear function

Question 4

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

Revolt · Accepted Answer

by multiplying the previous y-value by 15

Question 5

Compared to a linear function, a quadratic function grows slower ✔ faster at the same rate sometimes faster sometimes slower

Revolt · Accepted Answer

✔ faster

Question 6

By what factor does the y-value change for y = 4x? 23✔ 45

Revolt · Accepted Answer

✔ 4

Question 7

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

Revolt · Accepted Answer

✔ the linear function

Question 8

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

Revolt · Accepted Answer

by multiplying the previous y-value by 15

Question 9

Compared to a linear function, a quadratic function grows slower ✔ faster at the same rate sometimes faster sometimes slower

Revolt · Accepted Answer

✔ faster

Comparing Exponential, Linear, and Quadratic Growth Answers

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