HW Check 9-2 Inverses

Front

What is the inverse of the function f(x) = 2x + 4?

Back

f^{-1}(x) = (x - 4) / 2

Front

To graph the inverse of a function, what do you do?

Back

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

Front

Find the inverse of f(x) = -3x^2 + 5.

Back

Not applicable (the function is not one-to-one).

Front

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^{-1}(x) go through?

Back

(4, 1) and (6, 4)

Front

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

Back

Switch x and y.

Front

Define an inverse function.

Back

An inverse function reverses the operation of the original function.

Front

What is the notation for the inverse of a function f(x)?

Back

f^{-1}(x) is the notation used for the inverse of f(x).

Front

How do you find the inverse of a linear function?

Back

Switch x and y, then solve for y.

Front

What is the relationship between a function and its inverse?

Back

The output of the function becomes the input of the inverse and vice versa.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never takes the same value twice.