Problem 4 Let f(x) - 7 cos(31) — 2. (a) What are the smallest and largest possible values for f(z)? Show at least one line of work, a sketch, or an explanation. (b) What is the domain and range for f(x)? Domain: smallest: largest: Range: (e) What is the period of f(z)? Show at least one line of work or reasoning. Period:

The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of a circle as a function of its circumference. Call this function r(C) , Find r(36) and interpret its meaning,

In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?

Find f(1) and f(2). f(x)=x+7

How do you find the domain for the composition of two functions, fg ?

If the point (3,4) is on the graph of the function f , then the point ( __ , __ ) Is on the graph of f1 .