Exponential and Log Functions

Describe the transformations of f(x)= -log₂(x+1)

• left 1

• left one & over the y-axis

• left one & over the x-axis

• right one & over the x axis

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

What is the horizontal asymptote for the graph of
f(x)=-2(3)^x+4-8 ?

• y=8

• y=-8

• x=-8

• x=-4

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit

• Horizontal shift right one unit

• Vertical shift up one unit

• Vertical shift down one unit

• Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7 

• Reflection across the asymptote, horizontal shift right 3, vertical shift down 7 

• Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7 

• Stretch by a factor of 3, vertical shift down 7 

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Which function models the table?

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

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

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