Inverses of Functions

Front

What is the first step in finding the equation of the inverse of a function?

Back

Switch x and y.

Tags

CCSS.HSF-BF.B.4A

Front

When two functions are inverses of each other, their graphs are reflective over...

Back

y = x.

Tags

CCSS.HSF-BF.B.4C

Front

Are the blue and red graphs inverse functions?

Back

Yes.

Tags

CCSS.HSF-BF.B.4C

Front

Are these the graphs of two inverse functions?

Back

Yes.

Tags

CCSS.HSF-BF.B.4C

Front

To graph the inverse of a function...

Back

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

Tags

CCSS.HSF-BF.B.4C

Front

What is an inverse function?

Back

A function that reverses the effect of the original function.

Tags

CCSS.HSF-BF.B.4A

Front

If f(x) = 2x + 3, what is f⁻¹(x)?

Back

f⁻¹(x) = (x - 3)/2.

Tags

CCSS.HSF-BF.B.4A

Front

What does it mean for two functions to be inverses?

Back

f(g(x)) = x and g(f(x)) = x for all x in the domain.

Tags

CCSS.HSF-BF.B.4B

Front

How do you verify if two functions are inverses?

Back

Compose the functions and check if the result is the identity function.

Tags

CCSS.HSF-BF.B.4B

Front

What is the graphical representation of an inverse function?

Back

The graph of the inverse function is a reflection of the original function across the line y = x.

Tags

CCSS.HSF-BF.B.4C