Modeling

Modeling

Example 2

Determine the function that models the graph below:

modeling_ex2

Step 1. Determine the zeros of the function.

(-1, 0), (0, 0), (5, 0)

Step 2. Turn each zero into a factor of the function.

Since x = -1, then (x + 1) is a factor of the polynomial.

Since x = 0, then (x) is a factor of the polynomial.

Since x = 5, then (x - 5) is a factor of the polynomial.

Step 3. Determine the factored form of the polynomial.

modeling_ex2-2