Suppose that y = f(x) is a differentiable function for which the following information is known:...

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Suppose that y = f(x) is a differentiable function for which the following information is known: f(2) = -3, f'(2) = 1.5, f"(2) = -0.25. a. Is f increasing or decreasing at x 2? Is f concave up or concave down at x 2? b. Do you expect f(2.1) to be greater than -3, equal to -3, or less than -3? Why? c. Do you expect f'(2.1) to be greater than 1.5, equal to 1.5, or less than 1.5? Why? d. Sketch a graph of y = f(x) near (2, f(2)) and include a graph of the tangent line. %3D Suppose that y = f(x) is a differentiable function for which the following information is known: f(2) = -3, f'(2) = 1.5, f"(2) = -0.25. a. Is f increasing or decreasing at x 2? Is f concave up or concave down at x 2? b. Do you expect f(2.1) to be greater than -3, equal to -3, or less than -3? Why? c. Do you expect f'(2.1) to be greater than 1.5, equal to 1.5, or less than 1.5? Why? d. Sketch a graph of y = f(x) near (2, f(2)) and include a graph of the tangent line. %3D