Which point is an x-intercept of the quadratic functionf(x) = (x + 6)(x – 3)?

Hello!

An x-intercept of a function is a point x where the graph of a function intersects the x-axis. Such a points have the y-coordinate equal to zero. Different functions may have zero, one, two and any number of x-intercepts up to infinity.

In another words, x-intercepts of function f(x) are the same as roots of the equation f(x)=0.

In our case, f(x) is already factored and it is very simple to find its roots:

(x+6)(x-3)=0 means x+6=0 or x-3=0,

so the roots are `x_1=-6` and `x_2=3.` They are also the x-intercepts in question.