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Mathematics, 19.10.2019 15:00 avahrider1
The graph of the continuous function g, the derivative of the function f, is shown above. the function g is piecewise linear for -5 ≤ x < 3 and g(x) = 2(x-4)^2 for 3 ≤ x ≤ 6.
(a) if f(1) = 3, what is the value of f(-5) ?
(b) evaluate \int_{0}^{6} g(x)\; dx .
(c) for -5 < x < 6, on what open intervals, if any, is the graph of f both increasing and concave up? give a reason for your answer.
(d) find the x-coordinate of each point of inflection of the graph of f. give a reason for your answer.
(this was on the no-calculator section of the recently-released ap calculus ab 2018 exam so i appreciate it if you tried to limit calculator usage)
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