Free Printable 3.4 Exponential Functions review

1.

Write the equation of the graph

$a\left(b\right)^x$

2.

What is the equation for this table?

a)

$f\left(x\right)=3\left(5\right)^x$

b)

$f\left(x\right)=5\left(3\right)^x$

c)

$f\left(x\right)=-3\left(5\right)^x$

d)

$f\left(x\right)=-5\left(3\right)^x$

3.

Which of the following functions represent exponential growth?

a)

$f\left(x\right)=2^{x\ }$

b)

$f\left(x\right)=5\left(1-0.2\right)^x$

c)

$f\left(x\right)=6\left(1+0.15\right)^x$

d)

$f\left(x\right)=\frac{1}{3}\left(3\right)^x$

e)

$f\left(x\right)=4\left(\frac{1}{5}\right)^x$

4.

Which of the following best describes a situation of exponential decay?

a)

The equation $A(t)=100(1.05)^t$ models the annual increase in the value of a stock

b)

The equation $C(t)=20\left(3\right)^{-0.5t}$ represents the cooling process of a cup of coffee over time

c)

The equation $G(t)=2^t$ is used to calculate the growth of a population of bacteria

d)

The equation $D(t)=15(0.8)^t$ is used to model the depreciation of a car's value over time

5.

Given y=2^x, what is the y-intercept?

a)

(0,1)

b)

(0,2)

6.

Examine the data in the table provided. Determine the behavior of the function as the values approach infinity.

a)

$as\ x\ \rightarrow-\infty,\ y\ \rightarrow-\infty$

$as\ x\rightarrow-\infty,\ y\rightarrow-\infty$

b)

$as\ x\rightarrow-\infty,\ y\rightarrow0$

$as\ x\rightarrow\infty,\ y\rightarrow\infty$

c)

$as\ x\rightarrow-\infty,\ y\rightarrow\infty$

$as\ x\rightarrow\infty,\ y\rightarrow0$

7.

Which statement is true?

$f\left(x\right)=-2\left(1+0.8\right)^x$

a)

A is negative and b>1 so the function is increasing

b)

A is negative and b>1 so the function is decreasing

c)

A is negative and 0<b<1 so the function is decreasing

d)

A is negative and 0<b<1 so the function is increasing

8.

What is the graph of $f\left(x\right)=3^x$

a)

b)

c)

d)

9.

Which graph matches the equation

$y=2\left(1-\frac{1}{4}\right)^x$

Hint* what is the y intercept and is the function a growth or a decay

a)

b)

c)

d)

10.

$y=2\left(1-\frac{4}{5}\right)^x$

What is the constant percent change?

(a)

11.

What is the equation that models this graph?

a)

y = 2(3)^x

b)

y = 3(2)^x

c)

y = 3(6)^x

d)

y =6(3)^x

12.

Jessica deposited $750 into a savings account with a 2.5% APR compounded quarterly,

Calculate the total amount in the account after 1 years.

(a)

13.

The number of trees in a forest was 20,000 in 2020. Each year the number has decreased by 5%. Which equation models the number of trees since 2020?

a)

$t\left(n\right)=20000\left(1.05\right)^n$

b)

$t\left(n\right)=20000\left(0.95\right)^n$

c)

$t\left(n\right)=20000\left(0.05\right)^n$

d)

$t\left(n\right)=20000\left(1.95\right)^n$

14.

Florida has seen a significant increase in its population over the years. On Jan 1, 2015, the population of Florida was 20,000,000 people. Florida’s population has been growing by 3% per year. Express Florida’s population, P, in terms of years since 2015, y.

Check the BEST answer:

a)

P=20,000,000(1.03)y

b)

P=20,000,000(1.3)y

c)

P=20,000,000(1-0.03)^y

d)

P=20,000,000(0.97)^y

15.

The growth of an investment with compound interest is (a) because the amount of interest it earns is (b) over time.

Choose from the below words

exponential

linear

compounding

constant

16.

a)

A

b)

B

c)

C

d)

D

3.4 Exponential Functions review

Total questions: 16

Worksheet time: 26mins

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