Comparing Exponential, Linear, and Quadratic Growth

Question 1

According to the table, which function grows the fastest?

Revolt · Accepted Answer

The exponential function

Question 2

Complete the table for each function. Then answer the questions that follow.a=; b =; c =; d =; e = ; f =; g =

Revolt · Accepted Answer

⇒ 4: 8

Question 3

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

Revolt · Accepted Answer

4

Question 4

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

Revolt · Accepted Answer

the linear function

Question 5

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

Revolt · Accepted Answer

by adding 8

Question 6

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 7

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

Revolt · Accepted Answer

by adding 3, then 9, then 15, …

Question 8

If Anita and Miguel do not take any money from their accounts, whose account will grow faster? Explain why.

Revolt · Accepted Answer

Miguel's account will grow faster. Anita's account shows linear growth because it increases by a constant amount each month. Miguel's account shows exponential growth because it increases by a percentage of the total. In the long run, exponential growth will always surpass linear growth.

Question 9

On equal intervals, the y-values of a quadratic function have a common difference ✔ second difference ratio

Revolt · Accepted Answer

second difference

Question 10

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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