Inverse Functions Graphically

A graph and its inverse are always symmetrical about the line...

Tags

CCSS.HSF-BF.B.4C

To graph the inverse of a function...

• Rotate it around the origin

• Reflect it across the x-axis

• Reflect it across the y-axis

• Switch the x and y coordinates and plot the new points

Tags

CCSS.HSF-BF.B.4C

The graph shows the inverse, g(x) is a reflection of f(x) with respect to what line?

• The y-axis

• The x-axis

Tags

CCSS.HSF-BF.B.4B

Are these the graphs of two inverse functions?

• Yes

• No

• No way to tell

Tags

CCSS.HSF-BF.B.4C

Are these functions inverses?

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

Graph the inverse of the function shown above.

Tags

CCSS.HSF-BF.B.4C

Which graph represents f^-1(x) over the same domain?

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

Tags

CCSS.HSF-BF.B.4B

What is the best description of f(x) in red and g(x) in green?

• They are both functions, but not inverse functions.

• They are inverse functions because they both are functions and they are reflections of each other over y = x.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

Tags

CCSS.HSF-BF.B.4B

Are these functions inverses?

• Yes

• No

Tags

CCSS.HSF-BF.B.4B