In this homework we will analyze the function f (x) = en/2 _ garccot(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.\f\ff) (3 points) On which interval(s) is f BOTH increasing AND concave up? Justify your answer by citing relevant information from problems 2b) and 2d). g) (3 points) On which interval(s) is f BOTH decreasing AND concave up? Justify your answer by citing relevant information from problems 2b) and 2d). h) (3 points) On which interval(s) is f BOTH increasing AND concave down? Justify your answer by citing relevant information from problems 2b) and 2d). i) (3 points) On which interval(s) is f BOTH decreasing AND concave down? Justify your answer by citing relevant information from problems 2b) and 2d)