Logarithmic Functions

Logarithmic functions are the inverse of...

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

Tags

CCSS.HSF.BF.B.4

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.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

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.B.4

CCSS.HSF.IF.C.7

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.B.4

CCSS.HSF.IF.C.7

What value never changes in the logarithmic functions?

• Vertical asymptote

• Horizontal asymptote

• Domain

• Range

Tags

CCSS.HSF.BF.B.5

Write in exponential form.

Tags

CCSS.HSF.LE.A.2

CCSS.HSN.RN.A.1

Solve for x using the One-to-One property.

• 3

• 16

• 10

• 8

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.4

Solve for x using the One-to-One property.

• 0

• 1

• 14

• 49

Tags

CCSS.HSA.REI.A.1

Solve for x using the One-to-One property.

• 2,3

• -2,-3

• -2,3

• 2,-3

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x using the One-to-One property.

• 5

• -5

• 21

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2