# Functions

# Graphing Functions Exercises

### Example 1

Determine if the following graph shows a function.

### Example 2

Determine if the following graph shows a function.

### Example 3

Determine if the following graph shows a function.

### Example 4

Determine if the following graph shows a function.

### Example 5

Determine if the following graph shows a function.

### Example 6

Graph the following relation. Determine, using the vertical line test, if the relation is a function: *x* = 2 for all values of *y*.

### Example 7

Graph the following relation. Determine, using the vertical line test, if the relation is a function: *y* = -2*x*.

### Example 8

Graph the following relation. Determine, using the vertical line test, if the relation is a function: The set containing all pairs of the form (*x*, *y*) where *x* is a positive integer and *y* is greater than *x*.

### Example 9

Graph the following relation. Determine, using the vertical line test, if the relation is a function: *y* = -*x*^{2}.

### Example 10

Graph the following relation. Determine, using the vertical line test, if the relation is a function: *y* = 3 for every value of *x*.