MAT-225 Calculus module 6 discussion

AT-225-J1508 22EW1 Calc I: Single-Variable Calc / Module Six / 6-1 Module Six Discussion: Finding a Function to Match a Shape odule Six Discussion: Finding a Function to Match a Current Grade: 0.0 / 1.0 Remaining Time: Unlimited ix Discussion For this week's discussion, you are asked to generate a continuous and differentiable function f (c) with the following properties: . f (:z) is decreasing at z - 5 . f (:x) has a local minimum at c - -2 . f (:) has a local maximum at = = 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 (). first determine requirements for its derivative f' (a:) . For example, one of the requirements is that / ( -2) = 0. . If you want to find a function ? () such that g (-9) = 0 and g (8) = 0, then you could try g (r) = (x + 9) (x - 8). . If you have a possible function for /' (), then use the techniques in Indefinite Integrals this Module to try a possible f (r). 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 (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 the bounds on the a-axis go from -6 to 6. f (x) = sin (a)