R3) When do you draw a boundary line solid? R4) When do you draw a boundary line dashed? R5) Which objective is the most diffi cult for you? R1) Why do you need to use a test point that is not on the boundary line when solving a linear inequality in two variables? R2) How do you represent the solution set of a system of linear inequalities in two variables? 4.5 Introduction to Functions What are your objectives for Section 4.5? How can you accomplish each objective? 1 Define and Identify Relations, Functions, Domain, and Range • Learn the defi nitions of a relation, domain, range, and function, and write them in your own words. • Be able to determine when a relation is also a function. • Understand The Vertical Line Test. • Complete the given examples on your own. • Complete You Trys 1 and 2. 2 Given an Equation, Determine Whether y Is a Function of x and Find the Domain • Know the property for determining whether y is a function of x. • Know the procedure for Finding the Domain of a Relation, and write it in your own words. • Complete the given examples on your own. • Complete You Trys 3 and 4. 3 Use Function Notation • Write the defi nition of function notation in your own words. • Be able to evaluate functions for given values of the independent variable. • Complete the given example on your own. • Complete You Try 5. 4 Find Function Values for Real-Number Values of the Variable • Understand what it means to fi nd a function value. • Be able to fi nd the range for a given domain for functions represented by ordered pairs and graphs. • Complete the given examples on your own. • Complete You Trys 6 and 7. 5 Evaluate a Function for Variables or Expressions • Know how to substitute variables or expressions to fi nd a function value. • Complete the given example on your own. • Complete You Try 8. 196 CHAPTER 4 Linear Equations in Two Variables and Functions www.mhhe.com/messersmith
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