What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?

as

Step-by-step explanation:

We can see that all parts of the polynomial are positive, so as x gets larger, y will also get larger.

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.