Attributes of Logarithmic Functions

Describe the graph of f(x) = log x changed to f(x) = 3log(x + 1) - 5

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

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

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

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

What is the range of log(x)?

• (-2, 4)

• (-∞, ∞)

• (-∞, 0)

• (∞, -∞)

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

• x = 2

• x = -2

• y = 2

• y = -2

Match the graph with its equation

• y = log₅ (x + 1) + 1 

• y = log₅ (x - 1) + 1 

• y = log₅ (x²) + 1 

• y = log₅ (x)-1

What is the asymptote of y = log₂x ?

• y = 0

• x = 0

What is the range?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

Select all the transformations that apply.

y = log ₆ (x - 1) - 5

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical shift up 5

• Vertical shift down 5

What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5