3. In this problem your task is to sketch the graph of a function satisfying a number of properties. You can use the below plane for the sketch, or draw your own. In either case the \( x \) values should restricted to the interval \([-4,4]\) and the \( y \) values to \([-2,3]\). In your solution you should have a sketch of the full graph, and for each part below you should briefly explain why your graph satisfies the given property. (a)(4 points) The function should be defined for all \( x \) in the interval \([-4,4]\), except for \( x=2\).(b)(4 points) The function should be continuous at all points where it is defined, except for \( x=-3\).(c)(4 points) The function should be differentiable at all points where it is continuous, except for \( x=0\).(d)(4 points) The limit of the function as \( x \) approaches 1 should be 2.(e)(4 points) The function should be concave up on the interval \((2,4]\).