Thread: Analyze and graph another polynomial function?

This is another one similar to the first one. Again, I have a bunch of problems to do and was hoping I could get an example to go by. Thanks!

Analyze and graph the polynomial function f(x) = (x+5)^2(x+2)(x-1) by filling in the following information:

1. End behavior?

2. x-intercept(s) and multiplicity?

3. y-intercept(s)?

4. Approximate turning points?

5. Domain and Range?

6. Increasing and decreasing intervals?

When x is large and positive f(x) approaches x^4 as it does when x is large and negative
f(x)=0 when x=-5, -2 and 1 so these are the x intercepts
When x=0 f(x)= -50 so this is the y intercept

1. Even
2. x=1, x=-5, x=-2
3. y=-50
4. x~.5,x~-2.5
5. Domain is all Real Number; Range is -50>= all Real Numbers
6. [-infinity,-5) (-5,-2),(-2,-50),(-50,infinity]

Since you had just done "another one similar" problem, why would you feel you were not able to do anything on this? Did you not, at least, learn what "x-intercept" and "y-intercept" mean? You certainly should have been able to do those easily.