Respuesta :
Answer:
Increasing: (0, pi/2), (3pi/2, 2pi)
Decreasing: (pi/2, 3pi/2)
Step-by-step explanation:
f(x)=sin(x)-5
f'(x)=cos(x)
cos(x)=0
x=pi/2, 3pi/2 CRITICAL NUMBERS
The required domain where F(x) increasing is (0,π/2),(3/2π,2π) and decreasing in (π/2,3/2π).
F(x) = sinx-5 {0<x<2π}
What is range?
Range, it is the set of the values that come out to an outcome for certain mathematical operation.
F(x) = sinx-5
for the given function, it contains sinx which is increasing in (0,π/2),(3/2π,2π) and decreaseing in (π/2,3/2π).
Thus, The required range where F(x) increasing is (0,π/2),(3/2π,2π) and decreasing in (π/2,3/2π).
learn more about range here:
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