Free Printable Exponentials Review 3.1-3.4

1.

Solve 3³ = 3^{4x + 2}

a)

x = ¼

b)

x = -¼

c)

x = ½

d)

x = -½

2.

The function y = 24,220 (0.85)^x represents Mr. Bittle's investment in the stock exchange where x is measured in months.

Which statement is NOT true.

a)

Mr. Bittle loses 85% of his investment monthly

b)

Mr. Bittle initially invested $24,220

c)

Each month Mr. Bittle loses 15% of his investment

3.

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).

a)

777

b)

604

c)

29

d)

198

4.

What is the asymptote of y = 2^x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

5.

For the function $f\left(x\right)=-5^x-3$ , what is the domain and range?

a)

Domain: $\left(-\infty,\ \infty\right)$

Range: $\left(-\infty,\ -3\right)$

b)

Domain: $\left(-\infty,\ \infty\right)$

Range: $\left(-3,\ \infty\right)$

c)

Domain: $\left(-\infty,\ \infty\right)$

Range: $\left(-\infty,\ \infty\right)$

d)

Domain: $\left(-\infty,\ -3\right)$

Range: $\left(-\infty,\ \infty\right)$

6.

The equation f(x) = 300(1.06)^x is being used to calculate the amount of money in a savings account. What does the 1.06 represent?

a)

6% growth

b)

6% decay

c)

1.06% growth

d)

.06% decay

7.

Which equation matches this graph?

a)

b)

c)

d)

8.

81^3-x = (1/3)^5x-6

a)

6

b)

-6

c)

9/2

d)

3/2

9.

For the function $f\left(x\right)=-5^x-3$ , what transformations are involved?

a)

reflection over x-axis and vertical shift down 3 units

b)

reflection over y-axis and vertical shift up 3 units

c)

reflection over x-axis and horizontal shift left 3 units

d)

reflection over y-axis and horizontal shift right 3 units

10.

Ashleigh put some money into an account paying 4.5% compounded continuously for 10 years. She now has $3567.91 in the account. How much money did she start the account with?

a)

$3265

b)

$2725

c)

$2572

d)

$2275

11.

11.The value of Miss Sherman’s car x years after its purchase is given by the function V(x)=15,000(0.87)^x. What does the 15,000 and 0.87 represent?

a)

A.The car initially cost $15,000 and decreases in value 87% per year.

b)

A.The car initially cost $15,000 and increases in value 87% per year.

c)

A.The car initially cost $15,000 and decreases in value 13% per year.

d)

A.The car initially cost $15,000 and increases in value 13% per year.

12.

A population of 1500 deer decreases by 1.5% per year. After a certain number of years there will be approximately 1290 deer in the population. Determine the number of years.

a)

Approximately 9 years

b)

Approximately 12 years

c)

Approximately 10 years

d)

Approximately 7 years

13.

Which equation matches this graph?

a)

b)

c)

d)

14.

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

a)

-5

b)

-.05

c)

.95

d)

.05

15.

What is the End behavior on the left side

a)

x→∞, y→∞

b)

x→⁻∞, y→∞

c)

x→⁻∞, y→0

d)

x→∞, y→⁻∞

16.

What is the transformation?

a)

Left 5

b)

Right 5

c)

Up 5

d)

Down 5

17.

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

a)

$5,229.70

b)

$7,604.38

c)

$7,777.27

d)

$5,538.86

18.

Which exponential equation could represent the graph shown?

a)

$f\left(x\right)=3^{\left(x-3\right)}-2$

b)

$f\left(x\right)=3^{\left(x+3\right)}-2$

c)

$f\left(x\right)=3^{\left(x-2\right)}-3$

d)

$f\left(x\right)=3^{\left(x+2\right)}-3$

19.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

20.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

21.

Solve the exponential equation:

a)

-11/4

b)

6

c)

9/4

d)

8

22.

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

a)

4 units up

b)

4 units to the left

c)

4 units to the right

d)

4 units down

23.

Which graph matches this equation?

a)

b)

c)

d)

24.

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4+ 5

a)

x=4

b)

y=4

c)

x=5

d)

y=5

25.

What is the end behavior of the function

a)

x →⁻∞,y→⁻∞

x →∞, y→⁻∞

b)

x→⁻∞, y→∞

x →∞, y→∞

c)

x→⁻∞, y→2

x →∞, y→∞

d)

x→⁻∞, y→∞

x →∞,y→2

26.

What is the domain and range of the function y=2^x?

Use the graph to help!

a)

Domain: $\left(-\infty,\infty\right)$

Range: $\left(0,\infty\right)$

b)

Domain: $\left(-\infty,\infty\right)$

Range:

\left(-\infty,\infty\right)

c)

Domain: $\left(0,\infty\right)$

Range:

\left(0,\infty\right)

d)

Domain: $\left(-4,\infty\right)$
Range: $\left(-\infty,\infty\right)$

Exponentials Review 3.1-3.4

Total questions: 26

Worksheet time: 36mins

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