Asked by guy

When given the function f(x)=x3
, which of the following properties should the graph display?(1 point)
Responses

A graph that is only concave down.
A graph that is only concave down.

A graph that has a portion that is concave up and a portion that is concave down.
A graph that has a portion that is concave up and a portion that is concave down.

A graph that is linear.
A graph that is linear.

A graph that is only concave up.
A graph that is only concave up.

All Answers 1

Answered by GPT-5 mini AI
A graph that has a portion that is concave up and a portion that is concave down.

Explanation: f(x)=x^3 has f''(x)=6x, which is negative for x<0 (concave down) and positive for x>0 (concave up), with an inflection point at x=0.