Question

Determine x-intercepts and zeros of each function

Answer 1

Given:

The function is:

`y=-(2x-4)(x-2)`

To find:

The x-intercepts and zeros of the given function.

Solution:

We have,

`y=-(2x-4)(x-2)`

For x-intercepts,
`y=0`.

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

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

Using zero product property, we get

`(2x-4)=0` and
`(x-2)=0`

`2x=4` and
`x=2`

`x=(4)/(2)` and
`x=2`

`x=2` and
`x=2`

The given function has two equal zeroes or x-intercept, i.e.,
`x=2`.

Therefore, the zeroes are 2 and 2.

Note: All options are incorrect.