Exponential & Logarithms Practice

Exponential & Logarithms Practice

Multiple Choice

All of the following are true EXCEPT

• The domain is all real numbers

• There is an asymptote at y = 0

• There is an asymptote at x = 0

• The range is (0,∞)

Multiple Choice

What is the range of the function below?

• [1, ∞)
• (-∞, ∞)
• (1, ∞)
• (-∞, 1)

Multiple Choice

Which of the following functions is an example of exponential growth?

• y = e^-(x-2)

• y = (0.5)^3x

• y = 3^x

• y = 6^5-x

Multiple Choice

The logarithmic graph above has an asymptote at:

• y = 1
• x = 1
• x = 2
• y = 2

Multiple Choice

This graph is a transformation of the parent function y = log₃(x). Choose the equation of the new graph.

• y = log₃(x) + 2

• y = log₃(x) - 2

• y = log₃(x+2)

• y = log₃(x-2)

Multiple Choice

How will the graph of y=e^x-7 transform the parent function y=e^x?

• The graph will shift down 7 units
• The graph will shift up 7 units
• The graph will shift left 7 units
• The graph will shift right 7 units

Multiple Choice

How will the graph of y=ln(x-5) transform the parent function y=ln(x)?

• The graph will shift up 5 units
• The graph will shift down 5 units
• The graph will shift left 5 units
• The graph will shift right 5 units

Multiple Choice

Write the inverse of the following equation
y =  $2^x$  

• y = $\log_2x$  

•  y = $\frac{1}{2^x}$  

•  $y\ =\ \log_x2$ 

Multiple Choice

Write in exponent form:

log₆ 36 = 2

• 2⁶ = 36

• 36² = 6

• 6³⁶ = 2

• 6² = 36

Multiple Choice

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions

• Quadratic Functions

• Polynomial Functions

Multiple Choice

What is the Domain?

• x > -3

• x > 5

• x > 3

• x > -5

Multiple Choice

What is the range of this graph?

• All Real Numbers

• y > 1

• y > -1

• y > 5

Multiple Choice

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

Multiple Choice

What is the Domain?

• x > 0

• All Real Numbers

• x > 1

• x < 1

Multiple Choice

What is the Vertical Asymptote?

• x=5

• x=0

• y=0

• x=1

Multiple Choice

What is the horizontal asymptote for the graph of

f(x)=-2(3)^x+4-8 ?

• y=8

• y=-8

• x=-8

• x=-4

Multiple Choice

Evaluate the log:

log₃(1/9) =

• 1/2

• 2

• -2

• 3

Multiple Choice

Evaluate log₈ 8

• 8

• -1

• 0

• 1

Multiple Choice

log₄1 =

• 0

• 1

• 4

• DNE

Multiple Choice

The base of common log is 10. So log 100 = ?

• 1

• 2

• 10

• 50