In this lesson, we will learn how to use derivatives to graph different functions.

Students will be able to

Q1:

Consider the polynomial function whose graph 𝑦=𝑃(𝑥) is given below.

Use the given points and the fact that 𝑥=1 is a critical point of the function 𝑃 to determine 𝑃(𝑥).

Determine the intervals where 𝑃(𝑥)<1.

Q2:

Which of the following is the graph of the function 𝑓(𝑥)=1𝑥+2√𝑥?

Q3:

Which of the following is the graph of the function 𝑓(𝑥)=√𝑥+𝑥−6?

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