MAT72257J4683 23EW4 Calcl SinglerVariable Calc Module Six 671 Module Six Discussion Finding a Funclion to Match 5 Shape 6-1 Module SIX Discussion: Finding a Function to Match 8 Current Grade 00H 0 Remaining Time Unlimited Shape For this week's discussion, you are asked to generate a continuous and differentiable function f(:c) with the following properties: - f(:c) is decreasing ata: : 76 . f(:c) has a local minimum ata: : 2 . f(a:) has a local maximum at a: : 2 Your classmates may have different criteria for their functions, so in your initial post in Brightspace be sure to list the criteria for your function. Hints: . Use calculus! . Before specifying a function f(a:) first determine requirements for its derivative f' (as). For example, one of the requirements is that f' (,2) : 0 . . If you want to nd a function g(a:) such that g (79) : 0 and 9(8) : 0, then you could try 9(a) : (1' +9) (3 7 8)- . If you have a possible function for f, (m) then use the techniques in Indefinite Integrals this Module to try a possible f(:c). You can generate a plot of your function by clicking the plotting option (the page option with a "P" next to your function input). You may want to do this before clicking "How Did I Do?". Notice that the label "f(.7;) :" is already provided for you. Once you are ready to check your function, click "How Did I Do?" below (unlimited attempts). Please note that the bounds on the z-axis go from -6 to 6. It is recommended that you put a multiplication symbol between variables or between a variable and 1r (should you use it). Example: Write Sin (7r - x)instead of sin (7mm). How Did I Do? Try Another