Transformations Logarithmic Functions

Find the domain and range of:
f(x) = log₂(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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the asymptote of y = log₂x ?

• y = 0

• x = 0

Tags

CCSS.HSF-IF.C.7E

What is the asymptote of y = log₂x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Tags

CCSS.HSF-IF.C.7E

What is the asymptote of y = log₂(x - 3) ?

• y = 0

• y = 3

• x = 0

• x = 3

Tags

CCSS.HSF-IF.C.7E

The asymptote of y = log₂x + 1 will shift...

• right one to x = 1

• left one to x = -1

• not shift at all and remain x = 0

Tags

CCSS.HSF-IF.C.7E

The asymptote of y = log₂(x + 2) will shift...

• right two to x = 2

• left two to x = -2

• not shift and remain x = 0

Tags

CCSS.HSF.BF.B.3

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF-IF.C.7E

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF-IF.C.7E

Which has a vertical asymptote?

• Exponential
• Logarithmic
• Both

Tags

CCSS.HSF-IF.C.7D

Which has a horizontal asymptote?

• Exponential
• Logarithmic
• Both

Tags

CCSS.HSF-IF.C.7D