# What is the graph of the polynomial function x^4 + 1/3x^3 + 1/2x^2 - 10?

Oct 3, 2014

This is a fourth-order polynomial function. As graphed by free online software (https://www.desmos.com/calculator) the graph looks like this. Any graphing calculator could be used.

If you wanted to solve this without a graphing calculator, you could make a table of x vs. y using the function that you wish. In the case of:
$y = {x}^{4} + \frac{1}{3} {x}^{3} + \frac{1}{2} {x}^{2} - 10$
x y
-4 233
-3 66.5
-2 5.3
-1 -8.8
0 -10
1 -8.2
2 10.7
3 84.5
4 275