In this lesson, we will learn how to graph and analyze monomial functions.

Q1:

Consider the function 𝑓(𝑥)=110𝑥.

Which of the following shows the graph of 𝑓?

What is the 𝑦-intercept of the function?

What is the domain of 𝑓?

What is the range of 𝑓?

On what interval is the function increasing?

On what interval is the function decreasing?

What happens to the value of 𝑓(𝑥) as 𝑥→∞?

What happens to the value of 𝑓(𝑥) as 𝑥→−∞?

Q2:

Consider the function 𝑓(𝑥)=−1100𝑥.

Q3:

The figure shows the graph of 𝑓(𝑥)=𝑥.

Consider the behavior of the function 𝑔(𝑥)=(𝑥+2)+5.

State the domain and the range of 𝑔.

Find lim→∞𝑔(𝑥).

Find lim→∞𝑔(𝑥).

State where the function has a discontinuity.

State the intervals over which 𝑔 is increasing and decreasing.

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