Respuesta :

Answer:

[tex]f(x)=x(x-4)[/tex]

Step-by-step explanation:

Given: Function has two x-intercepts, one at (0,0) and one at (4,0)

To choose: the correct option

Solution:

x-intercepts of are the points whose x-coordinate is 0.

Consider [tex]f(x)=x(x-4)[/tex]

Put [tex]x=0[/tex]

[tex]f(0)=0(0-4)=0[/tex]

Put [tex]x=4[/tex]

[tex]f(4)=4(4-4)=0[/tex]

So, the function [tex]f(x)=x(x-4)[/tex] has two x-intercepts, one at (0,0) and one at (4,0).