Determine x-intercepts and zeros of each function

Question

asked Jul 23, 2022 107k views

1 Answer

Mark Ebersole · Answer 1 · 2022-07-29T15:29:08+0000

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.