# Graphing a Polynomial

• Jun 11th 2008, 04:20 PM
Morphayne
Graphing a Polynomial
Problem:

Consider the polynomial function $f(x) = 3x^5-25x^3+60x
$

a) Determine the X and Y intercepts.
b) Determine the coordinates and nature of the critical points.
c) Determine the coordinates of the points of inflection.
d)Graph the function.
e)State the intervals of increase and decrease.
f)State the intervals of concavity.

• Jun 11th 2008, 04:29 PM
Mathstud28
Quote:

Originally Posted by Morphayne
Problem:

Consider the polynomial function $f(x) = 3x^5-25x^3+60x
$

a) Determine the X and Y intercepts.
b) Determine the coordinates and nature of the critical points.
c) Determine the coordinates of the points of inflection.
d)Graph the function.
e)State the intervals of increase and decrease.
f)State the intervals of concavity.

X-int solve for $f(x)=0$
Y-int $f(0)$