Pre-Cal 30S January 22, 2009

When the bottom drops out of a rational function ...

Ladybower plug hole by flickr user publicenergy

Graphing Rational Functions

Sketching: Example 3 of 4

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Step 6:

Step 7:

Graphing Rational Functions

Sketching: Example 4 of 4

Step 1:

Step 3:

Step 4:

Step 5:

Step 7:

Step 2: Step 6:

Step 2: Step 6:

Sketch the graph of

Sketch the graph of

Sketch the graph of

USE THIS SLIDEAND THOSE THAT FOLLOW

FOR EXTRA PRACTISE

Sketch the graph of

Sketch the graph of

Sketch the graph of

Sketch the graph of

Sketch the graph of

Solve by factoring each polynomial completely.

2x + 7x + x - 10 = 03 2x - 7x - 6 = 03 2x - 7x + 2x + 3 = 03 2

Determine each value of k.

x - 3 is a factor of x + kx + kx + 213 2

x + 4 is a factor of 3x + 11x - 6x + k3 2

x - 2 is a factor of x - 6x + kx - 63 2

Sketch the graph of

Determine each value of k.When 2x - 3x + kx - 1 is divided by x - 1, the remainder is 1.3 2

Find each of the following and their domains: