5.4 Graphing Logarithmic Functions

What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Match the graph with its equation

• y = log₅ (x + 1) + 1 

• y = log₅ (x - 1) + 1 

• y = log₅ (x²) + 1 

• y = log₅ (x)-1

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

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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

Which equation is the inverse of the equation above?

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