# Math Help - Graphing a Polynomial

1. ## 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.

2. 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 $f(0)$