Quiz about Graphing Exponential and Logarithmic Functions

Question 1

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x)-1

Question 2

Match the graph with its equation

Accepted Answer

y = log₄ (x + 2) + 1

Answer

y = log₄ (x)+2

Answer

y = log₄ (x - 1) + 2

Answer

y = log₄ (-x + 2)

Question 3

What is the Domain?

Accepted Answer

x > 1

Answer

x > 0

Answer

All Real Numbers

Answer

x < 1

Question 4

What is the Range?

Accepted Answer

All Real Numbers

Answer

y > 0

Answer

y > 1

Answer

y < 1

Question 5

What is the equation of the asymptote?

Accepted Answer

x = -3

Answer

x=5

Answer

y= -3

Answer

y=5

Question 6

What is the range of this graph?

Accepted Answer

All Real Numbers

Answer

y > 1

Answer

y > -1

Answer

y > 5

Question 7

What is the Domain?

Accepted Answer

x > -3

Answer

x > 5

Answer

x > 3

Answer

x > -5

Question 8

Describe the graph of f(x) = log x changed to

f(x) = 3log(x + 1) - 5

Accepted Answer

vertical stretch by 3 and shift left 1 and 5 units down

Answer

vertical stretch by 3 and shift right 1 and 5 units down

Answer

vertical compress by 3 and shift right 1 and 5 units down

Answer

vertical compress by 3 and shift left 1 and 5 units down

Question 9

The graph of a logarithmic function is given. Select the function for this graph

Accepted Answer

f(x) =log₃(-x)

Answer

f(x) = log₃x

Answer

f(x) = -log₃x

Answer

f(x) = log₃(-x+1)

Question 10

What is the asymptote of y = log₂x - 3

Accepted Answer

x = 0

Answer

y = 0

Answer

y = -3

Answer

x = -3

Question 11

Select all the transformations that apply.

y = log ₆ (x - 1) - 5

Accepted Answer

Horizontal shift right 1

Accepted Answer

Vertical shift down 5

Answer

Horizontal shift left 1

Answer

Vertical shift up 5

Question 12

Select all the transformations that apply.

y = log ₅(x + 1) +1

Accepted Answer

Horizontal shift left 1

Accepted Answer

Vertical shift up 1

Answer

Horizontal shift right 1

Answer

Vertical shift down 1

Question 13

Select all the transformations that apply.

y = -2 log _1/2x

Accepted Answer

Vertical stretch by 2

Accepted Answer

Reflection across the x-axis

Answer

Vertical shrink by 1/2

Answer

Reflection across the y-axis

Question 14

Select all the transformations that apply.

y = 3log ₃ (2x)

Accepted Answer

Vertical stretch by 3

Accepted Answer

Horizontal shrink by 1/2

Answer

Vertical shrink by 1/3

Answer

Horizontal stretch by 2

Question 15

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 16

Which function has a vertical asymptote?

Accepted Answer

logarithm

Answer

exponential

Answer

both

Answer

neither

Graphing Exponential and Logarithmic Functions

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