Question

If f(x)=3$\sqrt[3]{x^2}-x^2$, then

• A. f has no extrema
• B. f is maximum at two points x=1 and x=-1
• C. f is minimum at x=0
• D. f has maximum at x=1 only

Answer 1

Answer: (B), (C)

f is maximum at two points x=1 and x=-1

Answer 2

The function has its maximum values at x=1 x =1 and x=−1 x =−1. This answer is correct because these are the points where the function reaches its highest points or peaks, as determined by the shape of the graph.

The correct answer is/are option(s):
(B) f is maximum at two points x=1 and x=-1
(C) f is minimum at x=0