Question

Describe the end behavior of the graph of the polynomial function. Then evaluate the function for x=-4, -3, -2, -1, 0, 1, 2, 3, 4. Then graph the function.y=x^4-2x^2-x-1 and y=(x-3)(x+1)(x+2)

Answer 1

Did you try just following the instructions?
They seem pretty straightforward.

For the end results, try ± large values
e.g. let x=1000 and x = -1000
wouldn't both x^4 become huge for both values, so what happens to the y value at those far-out values of x ?

notice that the second function starts with y = x^3 ...
when x = 1000 , y = [phone]
when x = -1000 , y = (-1000)^3 = -1000000000
what does that tell you about the position of y for huge negative values of x ?

Answer 2

p(x)=x^3+6x^2+5x-12 Describe the end behavior of the function