Question

Graph the function f(x) = (x + 3)^3 by hand and describe the end behavior? I suck at graphing.

Answer 1

It's not so hard. One way to help yourself is to look at the output from a graphing program. Also, you need to know something about different kinds of functions.

Here, we can get the zero by calculus, take the derivative and set it equal to zero and solve for x: 2(x+3)^2 = 0; x = -3 gives y = 0. Without calculus there is probably a formula for cubics, but I didn't look it up.

Looking at the figure suggests that we should find f(-4) and f(4) as well. That's probably enough.