Thursday

July 24, 2014

July 24, 2014

Posted by **laila** on Tuesday, March 26, 2013 at 11:00pm.

a.find the x and y intercepts,

b.find the power function that the graph ressembles for large values of x c.determine the maximum number of turning points on the graph of f

d.determine the behavior of the graph of f near each x-intercept

I don't even know where to begin. please help.

- math pre calculus -
**Steve**, Wednesday, March 27, 2013 at 11:38amsurely the intercepts are easy

f(x) is a polynomial of degree 4, so for large x it just looks like x^4.

Since the graph just touches the x-axis at x=-5 and 2, It comes down from the upper left, touches at x=-5, goes back up and comes back down to touch at x=2, then heads on up to the right, it has 3 turning points.

Visit wolframalpha.com and enter

(x+5)^2(x-2)^2

to see the graph. It will help clarify the concepts, I think.

Enter

plot y=(x+5)^2(x-2)^2 and y=x^4 where -10<x<10

to see how the two graphs are similar for large x.

**Related Questions**

pre calculus - find the following for the function f(x)=(x+3)^2(x-1)^2 a.) find ...

College alg - Analyze the graph of the following function as follows: (a) Find ...

precalculus - analyzethe graph of the function Find the x- and y-intercepts. (b...

pre calculus - use the seven step method to graph the following rational ...

algebra - find the following for the function f(x)= (x+5)^2(x-1)^2 a) find the ...

Quadratic Functions - Please explain to me how to do the following problems, I ...

math-please help,need quickly - find the slant asymptote of the graphof the ...

calculus - given the following piecewise function x+11 for -9<=x<-3 y= { 2...

Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...

pre calculus - Find the inverse of the following function. Find the domain, ...