Attributes of Exponential and Logarithmic Functions

What is the Asymptote?

• x=5

• x=0

• y=0

• x=1

What are the transformations of this graph?

• Right 1 Up 5
• Right 1 Down 5
• Left 1 Up 5
• Left 1 Down 5

What is the equation of the asymptote?

• x = -3
• x=3

• y= -3
• y=5

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

Describe the transformations of f(x)= -log₂(x+1)

• left 1

• left one & reflected over the y-axis

• left one & reflected over the x-axis

• right one & reflected over the x axis

Exponential functions have a restricted ______________.

• domain

• range

Logarithmic functions have a restricted _____________.

• domain

• range

Select all the transformations that apply.

y = -2 log ₃ x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

What is the horizontal asymptote of the function?

• y = 3
• y = 7
• x = 3
• x = -3

What is the range of the function?

• (-1, ∞)
• (-∞, 1)
• (-2, ∞)
• (-∞, 2)