1: Single-Variable Calc / Module Six / 6-1 Module Six Discussion: Finding a Function to Match a Shape ion: Finding a Function to Current Grade: 0.0 / 1.0 Remaining Tim For this week's discussion, you are asked to generate a continuous and differentiable function f (a) with the follow . f (x) is decreasing at x = -5 . f (x) has a local minimum at & = -2 . f (x) has a local maximum at x = 2 Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list th function. Hints: . . Use calculus! . Before specifying a function f (a) , first determine requirements for its derivative f (x). For example, on requirements is that f (-2) = 0 If you want to find a function g (a) such that g (-9) = 0 and g (8) = 0, then you could try g (a) = (a . If you have a possible function for f (a), then use the techniques in Indefinite Integrals this Module to try f (z) . You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your fur may want to do this before clicking "How Did I Do?". Notice that the label " f (x) =" is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that th axis go from -6 to 6. f (a ) = ? sin (a) OO Hello Na