13:00 Mon Feb 7 11889 Delaware Ave #11889, Spa... m" ius o. Members Login I National Society... snhu.mobius.cloud O Mobius - MAT-225-H3813 calc Southern New Hampshire Univer... oo oo MyScripps - Login Page Help I Jessica Coupar (jessica.coupar@snhu.edu) I Logout Gradebook External v A MAT-225-H3813 22EW3 Calc l: Single-variable Calc Module Six 6-1 Module Six Discussion: Finding a Function to Match a Shape 6-1 Module Six Discussion: Finding a Function to Match a Current Grade: 0.0 / 1 .O Remaining Time: Unlimited Shape Module Six Discussion For this week's discussion, you are asked to generate a continuous and differentiable function f (x) with the following properties: f (x) is decreasing at -5 f (x) has a local minimum at -2 f (x) has a local maximum at c 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 (x) , first determine requirements for its derivative f/ (x) . For example, one of the requirements is that f/ (2) If you want to find a function g (x) such that g(9) 0 and g (8) 0, then you could try g (x) If you have a possible function for f/ (x) , then use the techniques in Indefinite Integrals this Module to try a possible f (x) . 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 x-axis go from -6 to 6. How Did I Do? Try Another Save Quit & Save Previous Unit Item Next Unit Item