$$f(x) = x^3 + 4x^2 - x - 4$$

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

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).

anonymous · Answer

i think you factor first

camerondoherty · Answer

I already have

camerondoherty · Answer

I got
$$f(x) = (x + 1)(x - 1)(x + 4) $$

camerondoherty · Answer

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

inkyvoyd · Answer

ok so then calculate the zeros....

camerondoherty · Answer

-4, -1, 1

camerondoherty · Answer

I calculated them b4 btw haha

inkyvoyd · Answer

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)

inkyvoyd · Answer

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

inkyvoyd · Answer

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