# Rational Functions Worksheet

### Solutions

#### Graph the Following Rational Functions and Determine Their Center

**1f(x) = 6/x**

**2**

**3**

**4**

**5**

**6**

**7**

## 1

Graph the rational function:

**1f(x) = 6/x**

x | −6 | −3 | −2 | −1 | 1 | 2 | 3 | 6 |
---|---|---|---|---|---|---|---|---|

f(x) = 6/x | −1 | −2 | −3 | −6 | 6 | 3 | 2 | 1 |

The center of the hyperbola is: (0, 0)

## 2

Graph the rational function and determine its center:

**f(x) = 6/x moves up 3 units.**

The center of the hyperbola is: (0, 3)

## 3

Graph the rational function and determine its center:

**f(x) = 6/x is shifted down 3 units.**

The center of the hyperbola is: (0, −3)

## 4

Graph the rational function and determine its center:

**f(x) = 6/x is shifted left 3 units.**

The center of the hyperbola is: (−3, 0)

## 5

Graph the rational function and determine its center:

**f(x) = 6/x is shifted to the right 3 units.**

The center of the hyperbola is: (3, 0)

## 6

Graph the rational function and determine its center:

**f(x) = 6/x is shifted to the right 3 units and up 4.**

The center of the hyperbola is: (3, 4)

## 7

Graph the rational function and determine its center:

**f(x) = 6/x is shifted to the left 1 unit and 3 units upward. **

The center of the hyperbola is: (−1, 3)