a) Find the intervals where the function f is increasing and where it is decreas

Question

a) Find the intervals where the function f is increasing and where it is decreasing
b) Find the relative extrema of f
c) Find the intervals where the graph of f is concave upward and where it is concave downward
d) Find the inflection point, if any, of f


f(x)= x + (4/x)

Explanation / Answer

f'(x) = 1 - 4/(x^2) f'(x) > 0 for -infinity ,-2 and 2 , infinity so funtion is increasing in this interval Relative extrema are 2 and -2 in 1st quadrant it is concave upward i.e form 2 to infinityand in iii quadrant it is concave downward i.e from -infinity to -2 no inflection points

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