Intermediate Algebra (11th edition)

182 CHAPTER 3 Graphs, Linear Equations, and Functions Since paycheck amount dependson number of hours worked, paycheck amount is ...

Relations and functions can be defined in several different ways. As a set of ordered pairs (See Example 1.) As a correspondenc ...

OBJECTIVE 3 Find the domain and range.For every relation, there are two important sets of elements called the domainand range. 1 ...

(c) The arrowheads indicate that the line extends indefinitely left and right, as well as up and down. Therefore, both the domai ...

186 CHAPTER 3 Graphs, Linear Equations, and Functions Agreement on Domain Unless specified otherwise, the domain of a relation i ...

(d) By definition, yis a function of xif every value of xleads to exactly one value of y. Here, a particular value of x, say, 1, ...

31. 32. 188 CHAPTER 3 Graphs, Linear Equations, and Functions x y 0 3 –3 –4 4 x y 0 2 3 Decide whether each relation defines a f ...

SECTION 3.5 Introduction to Relations and Functions 189 Decide whether each relation defines y as a function of x. (Solve for y ...

Evaluating a Function Let Find the value of the function ƒ for Replace xwith 2. Multiply. ƒ 122 = 13 Add. ƒ 122 = 18 - 5 ƒ 122 = ...

SECTION 3.6 Function Notation and Linear Functions 191 NOW TRY EXERCISE 2 Let. Find the following. (a)ƒ 1 - 22 (b)ƒ 1 a 2 ƒ 1 x ...

To find let Let. Add. Find by letting (b) Solve for y. (Step 1) Add 4y. Subtract 5. y= y=ƒ 1 x 2 (Step 2) x- 5 4 , so ƒ 1 x 2 = ...

SECTION 3.6 Function Notation and Linear Functions 193 NOW TRY EXERCISE 6 Rewrite the equation using function notation. Then fin ...

194 CHAPTER 3 Graphs, Linear Equations, and Functions 29. 30. x y 0 2 –2 2 y = f(x) x y 0 2 2 y = f(x) x y 0 2 2 y = f(x) x y –2 ...

SECTION 3.6 Function Notation and Linear Functions 195 35.Refer to Exercise 31.Find the value of xfor each value of .See Example ...

59.Forensic scientists use the lengths of certain bones to calculate the height of a person. Two bones often used are the tibia ...

SECTION 3.6 Function Notation and Linear Functions 197 64.The table represents a linear function. (a)What is? (b)If what is the ...

198 CHAPTER 3 Graphs, Linear Equations, and Functions Comments Working in pencil lets you erase, keeping your work neat and read ...

3.1 ordered pair components origin x-axis y-axis rectangular (Cartesian) coordinate system plot coordinate quadrant graph of an ...

200 CHAPTER 3 Graphs, Linear Equations, and Functions 3.1 The Rectangular Coordinate System Finding Intercepts To find the x-int ...

3.3 Linear Equations in Two Variables Slope-Intercept Form Point-Slope Form Standard Form Horizontal Line Vertical Line xa yb ...