Transforming Exponential and Log Functions

What is the domain of y=2^x?

• x>0

• x=all real numbers

• y>0

• y=all real numbers

What is the range of y=2^x?

• x>0

• x=all real numbers

• y>0

• y=all real numbers

How does the graph of y=log (x-2) shift?

• right 2

• left 2

• up 2

• down 2

How are exponential and log functions related?

• They are cousins

• They are siblings

• They are married

• They are inverses

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

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

• left 1

• left 1 & reflection over the y-axis

• left 1 & reflection over the x-axis

• right 1 & reflection 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

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

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

• Reflection over x-axis

  shift 4 right

  shift up 9

• Reflection over x-axis

  shift 4 left

  shift 9 up

• Shift 4 left

  shift up 9

• Shift 4 right

  shift up 9