Question

\[f(x) = x^3 + 4x^2 - x - 4\]

What are the steps you would follow to graph f(x)? Describe the end behavior of the graph of f(x).

Answer 1

i think you factor first

Answer 2

I already have

Answer 3

I got
\[f(x) = (x + 1)(x - 1)(x + 4) \]

Answer 4

I have no idea how to graph it though...

Answer 5

ok so then calculate the zeros....

Answer 6

-4, -1, 1

Answer 7

I calculated them b4 btw haha

Answer 8

so now look at the largest term. x^3... that means that as the x approaches a large number, the function will approach positive infinity (because 4x^2 and -x grow more slowly)

Answer 9

and because in the x^3 you have an odd number, the function will approach negative infinity as x becomes more and more negative