In this homework we will analyze the function f (x) = en/2 _ garecot(x2-1) Note: arccot (x2 - 1) is the power to which e is being raised. We will consider [0, 7] as the domain on which cot(x) is invertible. We want to use our calculus skills to create a decent graph of this complicated function. This homework will walk you through collecting relevant data. Then you'll use the data to draw your graph.j) (4 points) Find the x-values of any local extrema. State whether it is a local maximum or minimum, and explain how to determine this based on the sign charts above. Be sure to find the output value of the function at these points. Note: use exact values for now. k) (4 points) Find the x-values of any inflection points. Explain what conditions need to be checked to verify that these are inflection points. Be sure to find the output value of the function at those points. Note: use exact values for now