WILL MARK BRAINLIEST Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only. Is there a way for the both of them to be correct? Explain your answer.

Step-by-step explanation:

Hello,

"Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only."

We know that Kelsey is right, a polynomial of degree 3 has maximum 3 zeroes, so it means that the graph of this polynomial has maximum 3 x-intercepts.

So how Ray can be right too?

we need to think of y-intercept, if we add the y-intercept then Ray can be right too,

as you can see in one example below

there are 3 x-intercepts and 1 y-intercept.

This being said, Ray is not always right. For instance

has only 1 zero (multiplicity 3) its graph has only 1 intercept in the point (0,0)

hope this helps

6 (3) - 4 + 32

hope this

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.