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).