Question

Subject Line: Calculus 1

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Question 4,5,6,7&8

Find the absolute and local extrema of the given function. (include the coordinate as your answer) y=f() A/ Question 5 (1 point) Use calculus to find the interval(s) on which f(x) is concave up. C X-2

Answer 1

Question 4. If f(x)< f(a) for all x in the neigbourhood of a then f(a) is called local maxima Iff(x)> f(a) for all x in the neighbourhood of a then f(a) is called local minima Iff(x)< f(a) for all x in the domain ( ) then f(a) is called absolute maxima Iff(x)> f(a) for all x in the domain ( 8 ) then f(a) is called absolute minima From the graph. Local minima : (x,y) = DNE Local maxima : (x,y) = (1,3) Absolute minima : (x, y) =(0,1),(2,1) Absoloute maxima : (x,y)=(1,3) x-2 -2 = Question 5. Differentiate f(x) = with respect to x (x-2)*1-1xx -2(-2) 4 f'(x) (x-2) (x-2) i f'(x)= (x-2)(x-2) 4 f"(x)>0= >03x>2 (x-2) Interval of concave up : (2.00)