Logarithm Transformation

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

Tags

CCSS.HSF-IF.C.7E

Expand:

Use the change of base property to rewrite as a single logarithm: \frac{\log15}{\log3}

Evaluate the logarithm. Round your answer to the nearest thousandth. (3 decimal places) (3 decimal places)

• none of these

What is the Range?

• y > 0

• All Real Numbers

• y > 1

• y < 1

Which has a vertical asymptote?

• Exponential

• Logarithmic

• Both

Tags

CCSS.HSF-IF.C.7E

f(x)=log₅(x+4) - 2

Describe the asymptote

• Horizontal Asymptote x = -4

• Vertical Asymptote x = -4

• Horizontal Asymptote x = 4

• Vertical Asymptote x = 4

Tags

CCSS.HSF-IF.C.7E

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

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF-IF.C.7E