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Multiple choice question about a modulus function, which statement is false?

Below is the multiple choice question about a modulus function (the domain of the function is all reals):

Which one of the following is not true about the function f(x)= | 2x+4 | :

A. The graph of f is continuous everywhere

B. The graph of f ' is continuous everywhere ( f ' is the derivative of f)

C. f(x) is greater than or equal to zero for all values of x

D. f '(x) = 2 when x > 0

E. f '(x) = -2 when x < -2

End Question

Can someone please tell me the correct answer and why. Also, please explain to me what "continuous everywhere" means.

Thank you.

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# Homework Help: Multiple Choice Question about Modulus Function

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