Example of a function - inflection point, Mathematics

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1. (a) Give an example of a function, f(x), that has an inflection point at (1, 4).

(b) Give an example of a function, g(x), that has a local maximum at ( -3, 3) and a local minimum at (3, -3).

(c) Plot f(x) and g(x) on the same graph being sure to label the inflection point(s) and local extrema.

 


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