Rational Functions Worksheet

 

Graph the Following Rational Functions and Determine Their Center

1f(x) = 6/x

2Rational Function

3Rational Function

4Rational Function

5Rational Function

6Rational Function

7Rational Function

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

Hyperbola

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

2

Graph the rational function and determine its center:

Rational Function

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

Hyperbola

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

3

Graph the rational function and determine its center:

Rational Function

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

Hyperbola

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

4

Graph the rational function and determine its center:

Rational Function

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

Hyperbola

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

5

Graph the rational function and determine its center:

Rational Function

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

Hyperbola

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

6

Graph the rational function and determine its center:

Rational Function

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

Hyperbola

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

7

Graph the rational function and determine its center:

Rational Function

Rational Function Operations

Rational Function Solution

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

Hyperbola

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




  •