Search Header Logo
Exponential Functions Review

Exponential Functions Review

Assessment

Presentation

Mathematics

8th Grade

Medium

CCSS
HSF-IF.C.8B, HSF-IF.C.7E, HSF.LE.B.5

+10

Standards-aligned

Created by

Rabah Issa

Used 5+ times

FREE Resource

16 Slides • 23 Questions

1

Exponential Functions

media

2

media

3

Exponential Functions have a variable in the exponent

4

Remember

Linear functions have a constant rate of change (as x increases, y increases by constant addition or subtraction.

Exponential functions have a constant multiplier (as x increases, y increases by multiplication).

media

5

media

6

media
media

7

media
media

8

media
media

​Examples

Non Examples

​Exponential Functions

9

Multiple Choice

What is b-value in this function: f(x) = 300(1.16)x?

1
300
2
1.16
3
.16
4
x

10

Multiple Choice

How do you know that this is exponential growth? f(x)=0 .25 ( 1.3)xf\left(x\right)=0\ .25\ \left(\ 1.3\right)^x  

1

Because the 0.25 was bigger than one

2

Because the 1.3 was bigger than one

3

Because the 0.25 was less than one

4

Because the 1.3 was less than one

11

Multiple Choice

How do you know that this is exponential decay? f(x)= 25 ( 0.20)xf\left(x\right)=\ 25\ \left(\ 0.20\right)^x  

1

Because the 25 was bigger than one

2

Because the 0.20 was bigger than one

3

Because the 25 was less than one

4

Because the 0.20 was less than one

12

Multiple Choice

Which of the following is an exponential function?

1

y = x2

2

f(x) = 3x3

3

y = x3

4

f(x) = 3x

13

Multiple Select

Which of the following are exponential functions?

1

f(x)=4(2)x

2

y=4x2

3

y=5x

4

f(x)=3x4

14

Exponential Functions

f(x) = a (b)x


a = initial value or starting amount

b= (common ratio) growth or decay factor

15

Multiple Choice

What is the initial value in y=4(2)x

1

4

2

2

3

x

16

Multiple Choice

What is the y-intercept in y=4(2)x

1

(4,0)

2

(0,2)

3

x

4

(0,4)

5

(4,2)

17

Multiple Choice

What is the y-intercept of f(x)=5(3)x

1

(0,5)

2

(0,3)

3

(3,0)

4

(5,0)

18

Multiple Choice

What is the starting amount in the problem below?

f(t) = 300(1.05)t

1

300

2

1.05

3

t

4

y

19

Multiple Choice

What is the growth rate in the problem below?

f(t) = 300(1.05)t

1

300

2

1.05

3

t

4

y

20

Multiple Choice

What is the common ratio for the function f(x) = 25 (4)x

1

25

2

4

21

Exponential

Growth vs. Decay

If b > 1 then Growth

If b is a fraction

0


Both Graphs have a

Horizontal Asymptote

(graph never touches

the X-axis)

bx cannot equal 0

media

22

Multiple Choice

b0 =

1

-1

2

0

3

1

23

Multiple Choice

The y-intercept for any function in the form

y=bx

1

(0,0)

2

(0,1)

3

(1,0)

24

Multiple Choice

The y-intercept for any function in the form

y=bx

1

(0,0)

2

(0,1)

3

(1,0)

25

Transformations

  • Shifts

  • Stretches

media

26

f(x) = 2x

(Parent Function)

  • g(x) = 2x + 3 represents __________________

  • h(x) = 2x - 3 represents __________________

media

27

28

29

30

31

Multiple Choice

Question image
What is the domain of the function shown below?
1
-2 < x < 5
2
0 < x < 12
3
y > 0
4
All Real Numbers

32

Multiple Choice

Question image
What is the range of the function shown below?
1
0 < y < 12
2
-2 < y < 5
3
y > 0
4
All Real Numbers 

33

Multiple Choice

Question image

Which represents exponential decay?

1

A

2

B

3

C

4

D

34

Multiple Choice

Question image
Is this exponential growth or decay?
1
Growth
2
Decay

35

Multiple Choice

Question image

Does this table represent exponential growth or decay?

1

Growth

2

Decay

36

Multiple Choice

Question image

Which function represents the table of values?

1

f(x) = 4x

2

f(x) = x4

3

f(x) = 4x

4

f(x) = 4x-1

37

Multiple Choice

Question image
Is this exponential growth or decay?
1
Growth
2
Decay

38

Multiple Choice

Which of the following is an exponential decay? (Check all that apply)

1

y = 5⋅(1/5)x

2

y = 5⋅(7/2)x

3

y = 5⋅8x

4

y = 5⋅1.5x

39

Multiple Choice

Given the original exponential function defined by y=4x, how would the graph change if the function were:

y=2(4)x-3+1?

1

Vertically stretched by a factor of 2, right 3, and up 1

2

Vertically compressed by a factor of 1/2, left 3 and down 1

3

Vertically compressed by a factor of 1/2, right 3, and down 1

4

Vertically stretched by a factor of 2, left 3, and up 1

Exponential Functions

media

Show answer

Auto Play

Slide 1 / 39

SLIDE

Discover more resources for Mathematics