Domain and Range of Logarithms

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Describe range of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Find the domain and range of:
f(x) = ln(x)

• D: all real numbers
  R: y > 0

• Domain: all real numbers
  Range: all real numbers

• Domain: x > 0
  Range: all real numbers

• Domain: all real numbers
  Range: y < 0

f(x)=log₅(x+4) - 2

Find the Domain and Range

• Domain: x ≥ -4

  Range: all real numbers

• Domain: all real numbers

  Range: y ≥ -4

• Domain: all real numbers

  Range: y > -4

• Domain: x > -4

  Range: all real numbers

f(x)=2ln(x+2)

Find the Domain and Range

• Domain: (-∞, ∞)

  Range: ( -2, ∞)

• Domain: (-∞, ∞)

  Range: ( -∞, -2)

• Domain: ( -∞, -2)

  Range: (-∞, ∞)

• Domain: ( -2, ∞)

  Range: (-∞, ∞)

Explain the domain and range of the parent function graph of a logarithmic function.

• Domain: x > 0, Range: y ∈ R

• Domain: x ∈ R, Range: y > 0

• Domain: x > 0, Range: y > 0

• Domain: x < 0, Range: y ∈ R

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

Which of the following has a domain of all real numbers, x > 2 ?

• y = log₂ x

• y = log₃ (x+2)

• y = log₄ (x - 2)

• y = log₇ x - 2

Find the domain of y = log₁₀(x+3)-1

• x<-3

• x>-3

• x<3

• x>3

What is the Domain of the parent log function?

• all real numbers

• all real numbers greater than zero

• all real numbers greater than or equal to zero

• all real number less than 0