For these questions consider the function 3 x p(x) = 3x + 5 10) Give the...

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For these questions consider the function 3 x p(x) = 3x + 5 10) Give the equation of the local linear behavior of p(x) at x = 1. 11) Find the x-values where p(x) has horizontal tangent lines. Show your algebraic solving process. 12) Find the x-values where p(x) has a slope of 7. Show your algebraic solving process. Answer each of the following. 13) Consider the piecewise function shown below. Is y(x) differentiable at x = 0? Show your analysis and give a reason for your answer of yes or no. Explain what this information tells us about the graph of y(x) at x = 0. ) = { y(x) = 3ex + 2x, 1x - x + 3 3, x < 0 x 0 14) Without using a calculator, find the value of d #1 (2 - 1) dh at h = 8. Show your process and give your answer in simplified form. 15) Find the function representing the instantaneous rate of change in 1 g(x) = 7x 8e* +++ - 2x 11 2 For these questions consider the function 3 x p(x) = 3x + 5 10) Give the equation of the local linear behavior of p(x) at x = 1. 11) Find the x-values where p(x) has horizontal tangent lines. Show your algebraic solving process. 12) Find the x-values where p(x) has a slope of 7. Show your algebraic solving process. Answer each of the following. 13) Consider the piecewise function shown below. Is y(x) differentiable at x = 0? Show your analysis and give a reason for your answer of yes or no. Explain what this information tells us about the graph of y(x) at x = 0. ) = { y(x) = 3ex + 2x, 1x - x + 3 3, x < 0 x 0 14) Without using a calculator, find the value of d #1 (2 - 1) dh at h = 8. Show your process and give your answer in simplified form. 15) Find the function representing the instantaneous rate of change in 1 g(x) = 7x 8e* +++ - 2x 11 2