Exponential Logarithmic Domain Range

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• (∞, -∞)

Find the Domain and Range

• Domain: (-∞, ∞)

  Range: ( -2, ∞)

• Domain: (-∞, ∞)

  Range: ( -∞, -2)

• Domain: ( -∞, -2)

  Range: (-∞, ∞)

• Domain: ( -2, ∞)

  Range: (-∞, ∞)

f(x)=log₅(x+4) - 2 Find the Domain and Range

• Domain: x ≥ -2

  Range: all real numbers

• Domain: all real numbers

  Range: y ≥ -4

• Domain: all real numbers

  Range: y > -2

• Domain: x > -4

  Range: all real numbers

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• Pickle

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: 0<x<∞
  Range: y>0

Describe the domain and range of a basic logarithmic function.

• Domain: All real numbers, Range: All real numbers

• Domain: All positive real numbers, Range: All real numbers

• Domain: All negative real numbers, Range: All real numbers

• Domain: All real numbers, Range: All positive real numbers

What is the domain and range of this graph?

• D: all real numbers
  R: all real numbers

• D: all real numbers
  R: y ≥ 0

• D: x ≥ 2
  R: y ≥ 3

• D: x ≤ 2
  R: y ≤ 3

What is the domain and range of the logarithmic graph ?