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 $x=2$

$x=\dfrac{4}{2}$ 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.