Question: Graph a continuous function y = f(t) on an interval [a, b] that satisfies the properties below. Graph the functions separately. 1. f (t) <

Graph a continuous function y = f(t) on an interval [a, b] that satisfies the properties below. Graph the functions separately.

1. f (t) < 0, f (t) > 0,abf(t)dt > 0

2. A(x) =axf(t)dt has a local minimum value at the midpoint of the interval [a, b] and A(b) = 0

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