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(1 point) Below is the graph of the derivative f' (a) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. (A) For what values of a in (0,8) is f (x) increasing? Answer: Note: use interval notation to report your answer. Click on the link for details, but you can enter a single interval, a union of intervals, and if the function is never increasing, you can enter the empty set as { }. (B) Find all values of a in (0,8) is where f () has a local minimum, and list them (separated by commas) in the box below. If there are no local minima, enter None. Local Minima:(1 point) Below is the graph of the derivative f ( ) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For part (A), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of a in (0,8) is f(a) concave down? (If the function is not concave down anywhere, enter "{}" without the quotation marks.) Answer: (B) Find all values of a in (0,8) is where f( ) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter -1000.) Inflection Points:Find the equations of the tangent line and normal lines to the graph of the function t) 2 at + 4 at t = 0. a) Tangent line: 3; = b) Normal line: y =