Free Printable Unit 7: Exponential Functions Review

1.

Which does y= 2(.5)^xrepresent?

a)

Exponential Growth

b)

Exponential Decay

2.

Which does y=.5(2)^x represent?

a)

Exponential Growth

b)

Exponential Decay

3.

What is the initial value of the situation represented by y = 0.05(2)^x?

a)

0.05

b)

2

c)

0.1

d)

1

4.

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

a)

10

b)

0.3

c)

1

d)

3

5.

This is the horizontal line which the values of the function cannot fall below :

a)

Asymptote

b)

Growth Factor

c)

Axis of symmetry

d)

Curve

6.

Which represents exponential decay?

a)

A

b)

B

c)

C

d)

D

7.

What is the range of this graph?

a)

y = 6

b)

(0, -4)

c)

y > -6

d)

y < -6

8.

What is the domain of the function shown below?

a)

-2 < x < 5

b)

0 < x < 12

c)

y > 0

d)

All Real Numbers

9.

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

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

10.

What kind of transformation is represented?

a)

up 1 unit

b)

left 1 unit

c)

right 1 unit

d)

down 1 unit

11.

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

a)

It stayed the same

b)

reflects, up 3, left 6

c)

reflects, right 3, down 6

d)

reflects, left 3, down 6

12.

What is the transformation?

a)

Horizontal Translation left 2

b)

Vertical Translation down 2

c)

vertical compression by 2

d)

reflection

13.

Choose 2. Do the ratio test.

Identify all the tables that are exponential functions.

a)

b)

c)

d)

14.

$y=4^x$ The graph of this equation is shifted three units to the left and one unit up. What is the new equation?

a)

$y=4^{\left(x+1\right)}-3$

b)

$y=4^{\left(x+3\right)}-1$

c)

$y=4^{\left(x-3\right)}+1$

d)

$y=4^{\left(x+3\right)}+1$

15.

Which graph is the parent exponential function?

a)

red

b)

blue

c)

green

d)

none

16.

What is the name of this parent function?

a)

Quadratic Function

b)

Square Root Function

c)

Exponential Decay Function

d)

Exponential Growth Function

17.

What is the parent function for exponential functions?

a)

y = x

b)

y = x²

c)

y = 2^x

18.

Cells dying off would be represented by which of the following?

a)

Exponential Growth

b)

Exponential Decay

19.

Bacteria growing can be represented by which of the following?

a)

Exponential Growth

b)

Exponential Decay

20.

What type of function is

f\left(x\right)=2\cdot\left(\frac{1}{7}\right)^x

?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

21.

What type of function is

y=7\cdot\left(\frac{5}{4}\right)^x

?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

22.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

a)

Vertical Stretch

b)

Vertical Compression

c)

Translation up 5 units

d)

Reflection across the x-axis

23.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=0.2\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

a)

Vertical Stretch

b)

Vertical Compression

c)

Translation up 5 units

d)

Reflection across the x-axis

24.

What is the transformation of f(x)=-1/3(2)^x+3

a)

reflect

compression by 1/3

up 3

b)

compression by 1/3

up 3

c)

reflect

stretch by 2

up 3

d)

stretch by 2

up 3

25.

What is the domain and range of the exponential function?

a)

D: all real numbers

R: y < 3

b)

D: all real numbers

R: y > 3

c)

D: x < 3

R: all real numbers

d)

D: x > 3

R: all real numbers

26.

The graphs of $y=2^x$ and $y=2^x+k$ are shown. What must the value of $k$ be?

a)

2

b)

-2

c)

5

d)

-5

27.

Using the parent function f(x) = -2(1.5)^x, which function describes a transformation of f(x) moving down 2 units?

a)

f(x) = -2(1.5)^x + 2

b)

f(x) = -2(1.5)^x - 2

c)

f(x) = -2*2(1.5)^x

d)

f(x) = 1.5(-4)^x

28.

The graph of $y=2^x+3$ looks like the graph of the parent function $y=2^x$ shifted ...

a)

up 3 units

b)

down 3 units

c)

3 units in the negative x direction (left)

d)

3 units in the positive x direction (right)

29.

This function represents the number of ants in a colony $f\left(x\right)=3\ \left(\ 2\right)^x$ How many ants did you begin with?

a)

There was 2 ants

b)

There was 3 ants

c)

The equation doesn't tell us

30.

This function represents the number of ants in a colony $f\left(x\right)=3\ \left(\ 2\right)^x$ What is the growth rate?

a)

The ants are growing by 3 times

b)

The ants are growing by 2 times

c)

The equation doesn't tell us

31.

What is the decay rate in the following model?

A=1200(.85)⁶

a)

-1200

b)

.15

c)

6

d)

.85

32.

What does the a in y=a(1+r)^x represent?

a)

Time

b)

Rate

c)

Slope

d)

Initial Amount

33.

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 + 0.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1+ 0.15)^x

34.

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1+ 0.14)^x

d)

y=6(1 - 0.14)^x

35.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(1 - 0.30)^x

b)

y=30(5000)^x

c)

y=5000(1 + 0.30)^x

d)

y=5000x^x

36.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. What is the model equation and how much will the printer be worth in 8 years?

a)

y = 35000(.95)^x; $23,219.72

b)

y = 35000(.5)^x; $136.72

c)

y = 35000(1.05)^x; $51,710.94

d)

y = 35000(.95)^x; $2,321.97

37.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

a)

$176,783.29

b)

$424,527.63

c)

$57,357.75

d)

$532,041,076.80

38.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

39.

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

a)

356

b)

265

c)

5825

d)

1329

40.

A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?

a)

y=78(0.5)^x

b)

y=78(1.5)^x

c)

y=78(2)^x

Unit 7: Exponential Functions Review

Total questions: 40

Worksheet time: 1hrs 1mins

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