Free Printable Exponential Review

1.

What is the growth or decay rate for the following equation?
y = 2.5(1.15)^x

a)

-15% decay

b)

115% growth

c)

15% growth

d)

25% growth

2.

What is the growth or decay rate for the following equation?
y = 1/3(0.7)^x

a)

7% decay

b)

70% decay

c)

30% growth

d)

30% decay

3.

A population has a growth/decay factor of 1.045 What is happening to the population?

a)

It grows at a rate of 45%

b)

It grows at a rate of 4.5%

c)

It dies at a rate of 45%

d)

It dies at a rate of 1045%

4.

A population has a growth/decay factor of 0.90. What is happening to the population?

a)

It grows at a rate of 90%

b)

It dies at a rate of 90%

c)

It grows at a rate of 10%

d)

It dies at a rate of 10%

5.

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

a)

$344,022

b)

$31,500

c)

$15,000

d)

$28,500

6.

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

a)

y=1400(1.09)^x

b)

y=1.09(1400)^x

c)

y=1400(.91)^x

d)

y=1.09^x

7.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

8.

What is r, the decay rate, for the function: f(x) = 800(0.85)^x?

a)

800

b)

0.85

c)

0.15

d)

x

9.

Is this exponential growth or decay?

a)

Growth

b)

Decay

10.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

11.

Bruno was given $6000 at birth . His parents invested it at a 4% interest rate compounded monthly. How much money will be in the account when Bruno turns 24?

a)

$15,645.18

b)

$6498.86

c)

$57,611.26

d)

$482,784,110.91

e)

$15,379.82

12.

Riley invested $10,000 in savings bonds. If the bonds earn 6.75% interest compounded quarterly, what will be the balance be after 5 years?

(a)

13.

In the formula $A=P\left(1+\frac{r}{n}\right)^{nt}$ , what does n stand for?

a)

net income

b)

number of times compounded per year

c)

time for it to half, double, triple . . .

d)

initial amount

e)

natural log

14.

What is the transformation?

a)

Shifted up 1

b)

Shifted down 1

c)

Shifted left 1

d)

Shifted right 1

15.

Where is the asymptote located?

a)

y = 1

b)

y = 0

c)

x = 0

d)

y = -1

16.

What is the transformation?

a)

Shifted up 2 and shifted right 1

b)

Shifted down 2 and shifted left 1

c)

Shifted left 2 and shifted up 1

d)

Shifted right 2 and shifted down 1

17.

What is the transformation?

a)

Shift left by 2

b)

Shift down by 2

c)

Vertical stretch by -2

d)

Reflection across the x-axis

18.

What is the Range?

a)

(-infinity, infinity)

b)

(-infinity,0)

c)

(0, infinity)

d)

(-2, infinity)

19.

Which graph best represents

y=2^x-4

a)

b)

c)

d)

20.

Which of the following is NOT a transformation of the equation

f\left(x\right)=3\cdot2^{\left(x-3\right)}+3

a)

Shift horizontally left 3 units

b)

Shift vertically up 3 units

c)

Shift horizontally right 3 units

d)

Vertically stretched by a factor of 3

21.

Which of the following function best represents this graph?

a)

$g\left(x\right)=2^x+2$

b)

$k\left(x\right)=-2^x+2$

c)

$m\left(x\right)=-2^x-2$

d)

$f\left(x\right)=0.5^x+2$

22.

Which of the following describes the transformation of $f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$ from the parent graph $g\left(x\right)=2^x$

a)

Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

b)

Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

c)

Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

d)

Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

23.

What is the equation for the asymptote for the graph of $f\left(x\right)=2^{\left(x-3\right)}$ ?

a)

$x=0$

b)

$y=0$

c)

$x=3$

d)

$y=2$

24.

Identify the asymptote of the function $-3\left(3\right)^x+4$

a)

y = -3

b)

y = 1

c)

y = 4

25.

What is the equation of the graph shown?

a)

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

b)

$y=4^x-2$

c)

$y=-4^x-2$

d)

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

26.

What is the y-intercept of the function?

a)

(0, -3)

b)

(-3, 0)

c)

(1, 0)

d)

(0, 1)

27.

What is the domain of the function shown below?

a)

-2 < x < 5

b)

0 < x < 12

c)

y > 0

d)

All Real Numbers

28.

What is the domain?

a)

$-\infty<x<\infty$

b)

$4<x<\infty$

c)

$0<x<\infty$

29.

What is the range of the following exponential?

a)

x > 3

b)

-3 < y < 8

c)

all real numbers

d)

y > 3

30.

What is the domain of the following exponential?

a)

-3 < x < 8

b)

all real numbers

c)

x > 1

d)

y > 1

31.

27^2x = 3^x-7

a)

-7/3

b)

-1

c)

-5/7

d)

-7/5

32.

Solve: 2^x = 4^x+1

a)

-2

b)

2

c)

-3

d)

3

33.

Solve for x using the same base method.
3^x-20= 27

a)

17

b)

27

c)

-7

d)

23

34.

Solve for x:
(-3)^x = (-3)¹³

a)

13

b)

-3

c)

x + 13

d)

x -13

35.

Solve the exponential equation:

a)

-11/4

b)

6

c)

9/4

d)

8

Exponential Review

Total questions: 35

Worksheet time: 2hrs 35mins

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