Question

f(x) = |x| has

A. minimum at x = 0

B. maximum x = 0

C. neither a maximum nor a minimum at x = 0

D. none of these

Answer 1

f(x) = |x|

Now to check the maxima and minima at x = 0.

It can be easily seen through the option.

See |x| is x for x > 0 and –x for x < 0

That is no matter if you put a number greater than zero or number less than zero you will get positive answer.

∴ for x = 0 we will get minima.