Question

What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)

Answer 1

The x-intercepts would be (2,0) and (4,0)

To find the midpoint: add the x's together and divide by 2.
The midpoint would be (3,0)

Answer 2

3

Explanation:

The x-intercept is when y=0 so the function f(x)=0, we determine the possible x values to get x-intercepts:

`0=(x-2)\cdot(x-4)`

x=2 and x=4

The midpoint of the points (2,0) and (4,0) is:

`=(X_1+X_2)/2=(4+2)/2=3`

The midpoint of the x-intercepts are 3.