Question

A quadratic function is defined by f(x)=(x-7)(x+3) Without graphing, identify the x-intercept, starting with one with the larger x value. Write your answer in the following format:(x,y)

Answer 1

(7, 0), (-3, 0)

Explanation:

The x-intercepts are the values of x that make the factors zero. A zero factor makes the value of the function be zero.

x - 7 = 0 ⇒ x = 7

x + 3 = 0 ⇒ x = -3

The corresponding (x, y) coordinates are ...

(7, 0), (-3, 0)