Comparing Exponential, Linear, and Quadratic Growth

Question 1

Which of the following best describes how the y-values are increasing from one interval to the next?

Revolt · Accepted Answer

by multiplying by 3

Question 2

On the calculator, click on the graph of y = 3x and trace to view the coordinates. When the x-coordinate is 4, what is the y-coordinate?

Revolt · Accepted Answer

81

Question 3

What does 3 represent in this exponential equation?

Revolt · Accepted Answer

the base

Question 4

Based on the graphs, the exponential function appears to grow the linear function.

Revolt · Accepted Answer

faster than

Question 5

Based on the y-values in the table, the exponential function appears to grow then linear function.

Revolt · Accepted Answer

faster than

Question 6

Based on the graphs on your calculator, which function appears to grow faster?

Revolt · Accepted Answer

the exponential function

Question 7

When the x-coordinate is 4, what is the y-coordinate?

Revolt · Accepted Answer

48

Question 8

When the x-coordinate is 4, which function has the greater value: y = 3x2 or y = 3x?

Revolt · Accepted Answer

exponential function

Question 9

Based on these models, which type of bacteria is growing faster?

Revolt · Accepted Answer

bacteria 1

Question 10

How do you know which bacteria is growing faster?

Revolt · Accepted Answer

An exponential function grows faster than a quadratic function.

Comparing Exponential, Linear, and Quadratic Growth Answers