I am having difficulty with this problem? Can someone EXPLAIN on how you arrive at the answer so that I can understand this? It also asks us to generate a plot of the function on a graph.

Here is the problem:

For this week's discussion; you are asked to generate a continuous and differentiable function f{;1:} with the following properties: a flier} is decreasing ate: 2 5 - f(w} has a local minimum at a: = 2 - f(w} has a local maximum at a: = 2 Your classmates may have different criteria for their functions; so in your initial post in Brig htspace be sure to list the criteria for your function. Hints: - Use calculus! - Before specifying a function f[;1:}. rst determine requirements for its derivative 3" {at}. For example: one of the requirements is that f (2] = U. o If you want to find a function g {at} such that gfQ) = U and 9(8) 2 I]; then you could try slat} = {3 + 9} (a? 3}- - If you have a possible function for f! (a), then use the techniques in Indefinite Integrals this Module to tryr 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(;r,} =" 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 m-axis go from -B to E3. It is recommended that you put a multiplication symbol between variables or between a variable and 111' {should you use it). Example: Write sin [arr - m}instead of sin (1m). fix)