Sketch the graph of (a) a function that is increasing at an accelerating rate; and (b) a

Chapter 5, Problem 21

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Sketch the graph of (a) a function that is increasing at an accelerating rate; and (b) a function that is increasing at a decelerating rate. (c) Assume that your functions in (a) and (b) are twice differentiable. Explain in each case how you could check the respective properties by using the first and the second derivatives. Which of the functions is concave up, and which is concave down?

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