Attributes of Exponential and Log Functions

What is the asymptote of y = 2^x ?

What is the asymptote of this function?

What is the value of e^ln(5)

• e

• 1

• 5

• Does not exist

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

Select all true statements

• exponential functions and logarithmic functions both have bases.

• exponential functions and logarithmic functions both have domain of all real numbers

• exponential functions will always have an x-intercept

• x = 2

• x = -2

• y = 2

• y = -2

A given exponential function has an asymptote at y=12. What must be the asymptote of the inverse?

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• (-∞, 0)

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: All Real Numbers
  Range: y>0

• Domain: All Real Numbers
  Range: y>1

• Domain: −2<x<∞
  Range: y>0

• Domain: −∞<x<∞
  Range: y>0