Quiz about Exponential vs Logarithmic Graph

Question 1

What type of function is shown?

Accepted Answer

exponential

Answer

logarithm

Answer

quadratic

Answer

square root

Question 2

Classify the following graph.

Accepted Answer

Logarithmic

Answer

Exponential Growth

Answer

Exponential Decay

Question 3

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

Accepted Answer

y = -3

Answer

y = 0

Answer

x = 0

Answer

x = -3

Question 4

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 5

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 6

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

Accepted Answer

Horizontal shift left one unit

Answer

Horizontal shift right one unit

Answer

Vertical shift up one unit

Answer

Vertical shift down one unit

Question 7

Select the correct function for the graph.

Accepted Answer

$$f\left(x\right)=\log_2\left(x+3\right)-2$$

Answer

$$f\left(x\right)=\log_2\left(x-3\right)-2$$

Answer

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

Answer

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

Question 8

Select the correct function for the graph.

Accepted Answer

$$f\left(x\right)=\log_2\left(x-3\right)-2$$

Answer

$$f\left(x\right)=\log_2\left(x+3\right)-2$$

Answer

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

Answer

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

Question 9

Select the correct function for the graph.

Accepted Answer

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

Answer

$$f\left(x\right)=\log_2\left(x+3\right)-2$$

Answer

$$f\left(x\right)=\log_2\left(x-3\right)-2$$

Answer

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

Question 10

Select the correct function for the graph.

Accepted Answer

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

Answer

$$f\left(x\right)=\log_2\left(x+3\right)-2$$

Answer

$$f\left(x\right)=\log_2\left(x-3\right)-2$$

Answer

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

Question 11

Select the correct function for the graph.

Accepted Answer

$$f\left(x\right)=\left(\frac{1}{2}\right)^x+3$$

Answer

$$f\left(x\right)=\left(\frac{1}{2}\right)^{\left(x+3\right)}$$

Answer

$$f\left(x\right)=\log_{\frac{1}{2}}\left(x+3\right)$$

Answer

$$f\left(x\right)=\log_{\frac{1}{2}}x+3$$

Question 12

Select the correct function for the graph.

Accepted Answer

$$f\left(x\right)=\left(\frac{1}{2}\right)^{\left(x+3\right)}$$

Answer

$$f\left(x\right)=\left(\frac{1}{2}\right)^x+3$$

Answer

$$f\left(x\right)=\log_{\frac{1}{2}}\left(x+3\right)$$

Answer

$$f\left(x\right)=\log_{\frac{1}{2}}x+3$$

Question 13

Select the correct function for the graph.

Accepted Answer

$$f\left(x\right)=\log_{\frac{1}{2}}\left(x+3\right)$$

Answer

$$f\left(x\right)=\left(\frac{1}{2}\right)^x+3$$

Answer

$$f\left(x\right)=\left(\frac{1}{2}\right)^{\left(x+3\right)}$$

Answer

$$f\left(x\right)=\log_{\frac{1}{2}}x+3$$

Question 14

Select the correct function for the graph.

Accepted Answer

$$f\left(x\right)=\log_{\frac{1}{2}}x+3$$

Answer

$$f\left(x\right)=\left(\frac{1}{2}\right)^x+3$$

Answer

$$f\left(x\right)=\left(\frac{1}{2}\right)^{\left(x+3\right)}$$

Answer

$$f\left(x\right)=\log_{\frac{1}{2}}\left(x+3\right)$$

Question 15

$$y=\log_2x-4$$

Which statement is true?

Accepted Answer

This functions shifts down 4

Answer

This function shifts up 4

Answer

This functions shifts right 4

Answer

The asymptote is horizontal

Question 16

Using the parent function y=2^x what would the graph of y=2^x+ 1 look like?

Accepted Answer

Vertical shift one unit up

Answer

Horizontal Shift to the right 1 unit

Answer

Horizontal shift to the left one unit

Answer

Vertical shift one unit down

Question 17

What are the transformations of this graph?

$$f\left(x\right)=\log_2\left(x-1\right)+5$$

Accepted Answer

Right 1 Up 5

Answer

Right 1 Down 5

Answer

Left 1 Up 5

Answer

Left 1 Down 5

Question 18

$$f\left(x\right)=\log_2\left(x+3\right)+5$$

Describe the asymptote of this function.

Accepted Answer

vertical

Answer

horizontal

Answer

there is both a horzontal and vertcal asymptote

Question 19

Which function has a horizontal asymptote?

Accepted Answer

exponential

Answer

logarithm

Answer

both

Answer

neither

Question 20

Which function has a vertical asymptote?

Accepted Answer

logarithm

Answer

exponential

Answer

both

Answer

neither

Question 21

Which graph is exponential decay

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 22

$$y=\left(\frac{1}{2}\right)^{x-5}+3$$

Describe the asymptote of this function.

Accepted Answer

horizontal

Answer

vertical

Answer

not enough information

Question 23

Determine the horizontal asymptote for the function

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

Accepted Answer

y=5

Answer

x=4

Answer

y=4

Answer

x=5

Question 24

What is the transformation?
$y=4^{\left(x+5\right)}$

Accepted Answer

Left 5

Answer

Right 5

Answer

Up 5

Answer

Down 5

Question 25

find the asymptote: y = log₁₀ (x+3)

Accepted Answer

x=-3

Answer

x=3

Answer

y=-3

Answer

y=3

Question 26

Find the asymptote of the following: y = log₁₀x - 6

Accepted Answer

x= 0

Answer

x=6

Answer

x=-6

Answer

y=0

Question 27

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

Accepted Answer

g(x)=log₃(x+6)+4

Answer

g(x)=log₃(x+4)-6

Answer

g(x)=log₃(x-6)+4

Answer

g(x)=3log(x+6)+4

Question 28

Which graph matches the equation?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 29

Which graph matches this equation?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 30

Which graph matches this equation?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Exponential vs Logarithmic Graph

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