Graphs Logarithmic Functions

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

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:
Translate 3 units left and 2 units up.

• f(x)=log(x+2)+2

• f(x)=log(x+2)-4

• f(x)=log(x+8)-4

• f(x)=log(x+8)+2

Which equation is the inverse of the equation above?

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Tags

CCSS.HSF-BF.B.4A

• x=1

• x=-1

• y=1

• y=-1

Tags

CCSS.HSF-IF.C.7E

Graph y = log(x - 1) + 4

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Tags

CCSS.HSF-IF.C.7E

What is the domain?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of log(x)?

• (-∞, ∞)

• (-∞, 0)

• (0, ∞)

• (0, 8)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF-BF.B.4A