Question

Which function has two x-intercepts, one at (0,0) and one at (4,0)?

f(x) = x(x - 4)
f(x) = x(x + 4)
f(x) = (x - 4)(x - 4)
f(x) = (x + 4)(x + 4)
+

Answer 1

`f(x)=x(x-4)`

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
`f(x)=x(x-4)`

Put
`x=0`

`f(0)=0(0-4)=0`

Put
`x=4`

`f(4)=4(4-4)=0`

So, the function
`f(x)=x(x-4)` has two x-intercepts, one at (0,0) and one at (4,0).