Question

How do you sketch the graph `f(x)=3x^4+2x^3-15x^2+12x-2`?

Answer 1

Make a table of the points and plot them.

Explanation:

Whether using manual calculations and graph paper of a calculation program, at some point the calculations must be made to generate the points for the graph. Local maxima and minima and inflection points can be found using the first and second derivatives, but the actual plot would need more than just those points.