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I can interpret all parts of the definition of a function in terms of an integral of another function. From the graph of the
I can interpret all parts of the definition of a function in terms of an integral of another function. From the graph of the integrand used in the definition of such a function, I can state where that function is increasing or decreasing. I can predict where relative extreme values of such a function will occur Note: You must justify your answers without reference to the Second Fundamental Theorem. Aim to justify your answers using the interpretation of the definition of A(x) as a signed-area function. 1. Let A(x) = right. for f (t)dt where f is the function graphed at (a) Which is larger: A(1) or A(5)? Justify your answer. (b) Which is larger: A(7) or A(10)? Justify your answer. (c) Which is larger: A(-2) or A(-1)? Justify your answer. (d) Where is A(x) increasing? (e) Why does A(x) have a critical point at x = 6? Is this a local maximum or a local minimum? How do you know? 1 0 5 7 8 9
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