(70) 20. [T] The graph of f' is shown in the diagram below. For -6x1 f'(x)=-x5x...

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(70) 20. [T] The graph of f' is shown in the diagram below. For -6≤x≤1 f'(x)=-x²–5x and for 1≤x≤6 f' is piecewise linear. Ay 7 5 4 3 reasons. C -7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 N 05 X ✓* 7 a) For -6<x<6, find all the values of x at which fhas a relative maximum, give b) For -6<x<6, find all the values of x at which has an inflection point. c) Find the intervals at which the graph of f'is concave down. d) If given that f(-6)=10, find the absolute maximum value of f(x), -6≤x≤6. (70) 20. [T] The graph of f' is shown in the diagram below. For -6≤x≤1 f'(x)=-x²–5x and for 1≤x≤6 f' is piecewise linear. Ay 7 5 4 3 reasons. C -7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 N 05 X ✓* 7 a) For -6<x<6, find all the values of x at which fhas a relative maximum, give b) For -6<x<6, find all the values of x at which has an inflection point. c) Find the intervals at which the graph of f'is concave down. d) If given that f(-6)=10, find the absolute maximum value of f(x), -6≤x≤6.

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a To find the values of x where f has a relative maximum we need to find the critical points of f ie ... View the full answer