Question

Analyze the polynomial function

Answer 1

Answer with Step-by-step explanation:

We are given function

$f(x)=x^2(x-2)(x-2)$

a.From given we can see that

When x approaches to infinity then y also approaches infinity.

When x approaches-infinity then y  also approaches infinity.

b.To find the x-intercept

Substitute y=0

$x^2(x-2)(x+2)=0$

$x=0$

$x-2=0$

x=2

$x+2=0$

$x=-2$

x-intercept:(0,0),(2,0),(-2,0)

To find the y-intercept

Substitute x=0

$y=0$

y-intercept:(0,0)