4-7 Transforming Exponential and Logarithmic 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

Match the graph with its equation

• y = log₄ (x)+2
• y = log₄ (x + 2) + 1 
• y = log₄ (x - 1) + 2
• y = log₄ (-x + 2)

Pick the equation that matches the graph

• A
• B
• C
• D

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

Match the graph with its equation

• y = log₄ (x)+2
• y = log₄ (x + 2) + 1 
• y = log₄ (x - 1) + 2
• y = log₄ (-x + 2)

What are the transformations of this graph?

• Right 1 Up 5
• Right 1 Down 5
• Left 1 Up 5
• Left 1 Down 5