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I'm having a really hard time figuring out this Algebra 2 problem, I don't understand it at all. Can someone please help?

Christi needs your help on the last question of her math homework. The question reads, "How can key features be used to create a sketch of any polynomial function?"

Explain to Christi, in complete sentences, what key features are necessary and how they can be used to create the sketch of a polynomial function.

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Lampa20
There are few features that you can use to sketch any polynomial function

First is to find x-intercepts of that polynomial. x-intercepts are positions x axis at which function f(x) is equal to 0

Second feature is to find first derivative of the function f(x), make it equal to 0 and again find x values that make first derivative equal to 0. after that implement those x values in f(x) to find f(x) for those values. Now you have sets of (x,y)  which are local minimum and maximums of polynomail. Knowing these and with a bit of calculation you can  make a decent skecth of any polynomial.

You can also set x=0 to find y- intercept.

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