The prompt says "Graph each function. Determine the interval[s] for which the function is increasing and the interval[s] for which the function is decreasing."

Question

The problems that are given in this prompt are:

1. y= x^3+3x^2-9x

2. f(x)=1/(x+1)-4

3. g(x)=(x^2+5)/(x-2)

I need mega help..

Answer 1

how far along are you? Can you tell when a function is increasing or decreasing?

First step: try sketching the graphs as asked. You've had a couple of years of algebra now, so you should be able to find roots, asymptotes, etc.

You can also visit

rechneronline.de/function-graphs/

for some excellent help. Play around there and get a feel for how these functions work.

Answer 2

I got the first one. I guess what I don't understand is the Asymptotes. Do I include them in my answer?
Cause, I feel like they have to be included.