Solução_Calculo_Stewart_6e

F.
TX.10
CHAPTER 1 REVIEW ¤ 33
1 Review
1. (a) A function f is a rule that assigns to each element x in a set A exactly one element, called f(x),inasetB. ThesetA is
called the domain of the function. The range of f is the set of all possible values of f(x) as x varies throughout the
domain.
(b) If f is a function with domain A,thenitsgraph is the set of ordered pairs {(x, f(x)) | x ∈ A}.
(c) Use the Vertical Line Test on page 16.
2. The four ways to represent a function are: verbally, numerically, visually, and algebraically. An example of each is given
below.
Verbally: An assignment of students to chairs in a classroom (a description in words)
Numerically: A tax table that assigns an amount of tax to an income (a table of values)
Visually: A graphical history of the Dow Jones average (a graph)
Algebraically: A relationship between distance, rate, and time: d = rt (an explicit formula)
3. (a) An even function f satisfies f(−x) =f(x) for every number x in its domain. It is symmetric with respect to the y-axis.
(b) An odd function g satisfies g(−x) =−g(x) for every number x in its domain. It is symmetric with respect to the origin.
4. A function f is called increasing on an interval I if f(x 1)