Inverses!

Front

What is the horizontal line test?

Back

The horizontal line test is a method used to determine if a function has an inverse. If any horizontal line intersects the graph of the function more than once, the function does not have an inverse.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables in the equation and solve for y.

Front

Back

Front

What does it mean for two functions to be inverses of each other?

Back

Front

Back

Front

Can a function have more than one inverse?

Back

No, a function can have at most one inverse. If it has more than one, it fails the horizontal line test.

Front

What is the significance of the point (a, b) in relation to inverse functions?

Back

Front

What is the graphical representation of inverse functions?

Back

Front

What does it mean if two functions are not inverses?

Back

If two functions are not inverses, it means that the composition of one function with the other does not return the original input.

Front

How can you tell if two graphs are inverses?

Back