# Graphs of *f *( *x* ) and *f* ' ( *x* ) Exercises

### Example 1

For the function *f*(*x*) below, draw a graph of *f ' *(*x*). Don't worry too much about whether *f '* is straight or curvy—focus on getting it to cross the *x* axis in the right places.

### Example 2

For the function *f*(*x*) below, draw a graph of *f '* (*x*). Don't worry too much about whether *f '* is straight or curvy—focus on getting it to cross the *x* axis in the right places.

### Example 3

For the function *f*(*x*) below, what would the graph of *f ' *(*x*) look like?

### Example 4

For the function *f*(*x*) below, what would a rough sketch of *f ' *(*x*) look like?

### Example 5

From the graph of *f ' *(*x*), what might the graph of *f*(*x*) look like? Make sure to label each graph.

### Example 6

From the graph of *f ' *(*x*), draw a graph of *f*(*x*). Make sure to label each graph.

### Example 7

From the graph of *f ' *(*x*), draw a graph of *f*(*x*). Make sure to label each graph.

### Example 8

From the graph of *f ' *(*x*), what will the graph of *f*(*x*) look like? Make sure to label each graph.