Graphical Behavior

Graphical Behavior

Finding x-intercepts

Example 2

Find the x-intercepts of the function.

frac1

Step 1. Simplify the function completely.

frac2

cancel

frac3

Since equation1 and x = 2 are excluded values, they can not be an x-intercept.

Step 2: Using the Zero Product Property, set the factor(s) in the numerator equal to zero and solve.

x – 4 = 0

x = 4

x-intercept(s): (4, 0)