Question

For the polynomial function ƒ(x) = .5x3 + .25x2 + .125x + .0625, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.x = .5, touchx = −.5, touchx = .5, crossx = −.5, cross

Answer 1

Given:

The polynomial is

$f(x)=.5x^3+.25x^2+.125x+0.0625$

Required:

Find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.

Explanation:

The zeros of polynomial are

$\begin{gathered} x\approx0.5 \\ x=\pm0.5i \end{gathered}$

Now,

So, graph is crossing at -0.5

Answer:

Hence, fourth option is correct.