Functions and Inverse Functions

Which of the facts is not true about the graph shown?

• The range is y ∈ ℝ

• The function has been shifted 6 units right.

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2. 

What is the domain of the graph of the radical function?

• (-infinity, infinity)

• (-7, infinity)

• (0, infinity)

• (4, infinity)

Was the inverse function found correctly?

• no

• yes

Graph the inverse

• 
• 
• 
• 

• yes

• no

Describe the transformation.

• Left 1unit, Reflect over x-axis, up 2 units

• Left 1unit, Reflect over y-axis, down 2 units

• Right 1 unit, Reflect over x-axis, up 2 units

• Right 1unit, Reflect over y-axis, up 2 units

Identify the Transformations. 

• Vertical stretch by 2 and down 4

• Horizontal compression by ½ and down 4

• Vertical stretch by 2 and up 4

• Horizontal compression by ½ and right 4

The inverse of the function f(x) is written as ...

• f ^-1(x)

• f ²(x)

• f '(x)

• f ⁺(x)

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Rewrite as a log: y = 7^x

• log₇(x) = y

• log_y(7) = x

• log_x(y) = 7

• log₇(y) = x