Alegra 2 problem?

Question

What is the max number of turning points in the graph of P(x) = x³ + 3x?
Question options:

a) 1

b) 2

c) 3

d) 4

Answer 1

The actual answer to your question is b).

 

The maximum number of turning points is the highest degree minus 1. Since the highest degree is 3, there are at most 2 turning points.

Answer 2

f(x) = x³ + 3x has one inflection point at (0, 0) that is also the only real root.

 

a)