Note: Please see the pictures below for question details.

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Consider the graph of y = f(x) shown below in blue. Submit your answer to this question by completing the following tasks: 1. Drag the movable black point to a point where the derivative of the function is -4. 2. Draw an approximation for the tangent line to the function at your chosen location by dragging the red point. Provide your answer below: 10- K 10 -10 - 5Find the values of a and b that make the following piecewise function differentiable everywhere. f (x) = S ax + b for x 5 3 1x2 - 3x + 7 for x > 3 Provide your answer below:Consider the graph of y = f(x) shown below in blue. Submit your answer to this question by completing the following tasks: 1. Drag the movable black point to a point where the derivative of the function is 0. 2. Draw an approximation for the tangent line to the function at your chosen location by dragging the red point. Provide your answer below: 10- -10 Un - 10