Logarithmic Functions

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Tags

CCSS.HSF.BF.B.5

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Logarithmic functions have...

• Vertical asymptote at x=0

• Vertical asymptote at x=1

• Horizontal asymptote at y=1

• Horizontal asymptote at y=0

Tags

CCSS.HSF-IF.C.7E

Exponential functions have...

• Vertical asymptote at x=0

• Vertical asymptote at x=1

• Horizontal asymptote at y=1

• Horizontal asymptote at y=0

Tags

CCSS.HSF-IF.C.7E

What value never changes in the logarithmic functions?

• Vertical asymptote

• Horizontal asymptote

• Domain

• Range

Tags

CCSS.HSF-IF.C.7E

Write in exponential form.

Tags

CCSS.HSF.BF.B.5

The inverse of an exponential function is its reflection across the x-axis.

• True

• False

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

• the x-axis

• the y-axis

• y=x

• y=-x

log_a x

This function always passes thru coordinate:

• (0, 1)

• (1, 0)

• (0, a)

• (a, 0)