Posted by **NEED HELP NOW** on Thursday, May 31, 2012 at 5:11pm.

Let f be the function defined by the piecewise function:

f(x) = x^3 for x less than or equal to 0

x for x greater than 0

Which of the following is true?

a) f is an odd function

b) f is discontinuous at x=0

c) f has a relative maximum

d) f'(0) = 0

e) f'(x) > 0 for (x is not 0)

I strongly believe that a, b, and c are not the correct answer.

- CALCULUS DERIVATIVES CONTINUITY -
**NEED HELP NOW**, Thursday, May 31, 2012 at 5:14pm
I think it would be e considering the fact that when you take the derivative, you get 3x^2 and 1, an when you input zero for both of these, there is a jump discontinuity. Is this right?

- CALCULUS DERIVATIVES CONTINUITY -
**Damon**, Thursday, May 31, 2012 at 5:27pm
I agree with e

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