Answer to Question #156999 in Calculus for Tom Garland

Question

Let f be the function given by f(x)=-x^2/3. Which of the following statements about f are true?

I. f is continuous at x=0.

II. f is differentiable at x=0;

III. f has an absolute maximum at x=0

Answer 1

For the function $f(x)=-\frac{x^2}{3}$ all three statements are true.