18. Consider again the function g(x) graphed at the right. For which values of x does...

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Question

math calculus

Answer 1

Answer #1

The given graph f(x) (say) is that of a parabola centered at (0,-1) .

The function f(x) is increasing (positive rate of change) i.e, f'(x)>0 in interval (0,0) .

The function f(x) is decreasing (negative rate of change) i.e, f'(x)<0 in interval ${\color{Blue} (-\infty ,0)}$ .

The function f(x) has global minimum (rate of change is 0) i.e, f'(x)=0 at ${\color{Blue} x=0}$ .

Answer 2

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