Transformations of Exponential and Logarithmic Functions

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Which graph matches this equation?

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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

Which equation matches this graph?

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• 
• 
• 

What is the asymptote?

• x= 2

• y= -2

• y= 2

• y= -1

What is the transformation?

• Left 5

• Right 5

• Up 5

• Down 5

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up

• 4 units to the left

• 4 units to the right

• 4 units down

Which exponential equation could represent the graph shown?

Which exponential equation could represent the graph shown?

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