# Precalculus : Piecewise Functions

## Example Questions

### Example Question #1 : Piecewise Functions

Let

What does  equal when ?

Explanation:

Because 3>0 we plug the x value into the bottom equation.

### Example Question #2 : Piecewise Functions

Let

What does  equal when ?

Explanation:

Because  we use the first equation.

Therefore, plugging in x=0 into the above equation we get the following,

.

### Example Question #3 : Piecewise Functions

Determine the value of  if the function is

Explanation:

In order to determine the value of  of the function we set

The value comes from the function in the first row of the piecewise function, and as such

### Example Question #4 : Piecewise Functions

Determine the value of  if the function is

Explanation:

In order to determine the value of  of the function we set

The value comes from the function in the first row of the piecewise function, and as such

### Example Question #5 : Piecewise Functions

For the function  defined below, what is the value of  when ?

7

3

-2

8

0