The function f is defined for all x. Use the graph of f\' to answer the followin

Question

The function f is defined for all x. Use the graph of f' to answer the following questions f' (x) (a) Over what intervals is fincreasing? (Enter your answer using interval notation.) Over what intervals is f decreasing? (Enter your answer using interval notation.) (b) Does f have local maxima or minima? If so, which, and where? fo) is a local and global maximum, and f has no global minimunm. ro) is a local minimum, and f has no local or global maximum O f(O) is a local maximum, and f has no local or global minimum. O f has no local or global minima or maxima. f(O) is a local and global minimum, and f has no global maximum.

Explanation / Answer

f ' is the line which is passing through origin.

so, f is in the form of mx^2

f is decreasing on (- infinity, 0)

f is increasing on (0, infinity)

so, f has local minimum at x= 0

Since the graph is decreasing and increasing.

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