Given the following graph of the first derivative of a funcionf whose domain is

Question

Given the following graph of the first derivative of a funcionf whose domain is all real numbers except zero. If point A is (-2.15,0) and point B is (1.22,2.55), find any intervals where the function f is increasing and any intervals where the function f is decreasing. 8 20 -10 A 10 20 10 20 a) Increasing on -0o,0) (2.55, oo); decreasing on (0,2.55 b) Increasing on (-oo1,0); decreasing on (0, oo) c) Increasing on (-2.15,0)U (0, oo): decreasing on (-c0,-2.15) d) Increasing on -,-2.15); decreasing on (-2.15,0)u (0, 0o) e) Increasing on (-o,0)UI.22,o) decreasing on (0, 1.22) None of the above

Explanation / Answer

Solution:

for function to be increasing its derivative must be positve

f' > 0

all values where f is abive x axis

Increasing interval = (-2.15 ,0 ) U (0 ,)

And decreasing when f'<0

(- , -2.15)

therefore

Option (c) is correct

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