Question

Jenn determined that the graph of the quadratic funtion f(x) =x^2 -9 has two x-intercepts. do you agree with her? why or why not?

Answer 1

Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.

Explanation:

x-intercepts of a function:

The x-intercepts of a function are the values of x for which f(x) = 0.

In this question:

`f(x) = x^2 - 9`

x-intercepts:

`x^2 - 9 = 0`

`x^2 = 9`

`x = \pm √(9)`

`x = \pm 3`

Jenn:

Jenn is correct, as the function has two x-intercepts, at x = -3 and x = 3.