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## 3.1 Relations 3.2 Graphs

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**3.1 Relations**3.2 Graphs**Objective: List ordered pairs from a Cartesian product that**satisfy a given relation. Any set of ordered pairs selected from a Cartesian product is a relation.**List the domain and the range of the relation**C {(a, 1), (b, 2), (c, 3), (e, 2)}. D {(2, 2), (1, 1), (1,2), (1, 3)}.**E Use the set {1, 2, 3, . . . , 10}.Find {x|5 < x < 7}.**F Use the set Q X Q, where Q = {2, 3, 4, 5}.Find {(x, y)|x > 2 and y > 3}.**Objective: Graph ordered pairs of a relation**Cartesian Coordinate System**Objective: Determine whether an ordered pair is a solution**of an equation. Solution: An ordered pair such that when the numbers are substituted for the variables, a true equation is produced**Determine whether the given ordered pairs are solutions to**the equation y = 3x - 1: G (7, 5) H (7, 20) I (0, 6)**HW #3.1-2Pg 108-109 1-29 Odd, 30-34Pg 114-115 29, 31, 37,**43-57**Chapter 3Relations, Functions, and Graphs**3.3 Functions**Objective: Recognize functions and their graphs.**A relation where each member of the domain is paired with exactly one member of the range is a function.**Objective: Recognize functions and their graphs.**Function Not a Function**Objective: Use function notation to find the value of**functions. FUNCTION MACHINE Pronounced “f of x”**Objective: Use function notation to find the value of**functions. FUNCTION MACHINE**Objective: Use function notation to find the value of**functions.**Objective: Use function notation to find the value of**functions.**Objective: Use function notation to find the value of**functions.**Objective: Find the domain of a function, given a formula**for the function. When the function in R X R is given by a formula, the domain is understood to be all real numbers that are acceptable replacements. Finding the domain of a function 2 rules 1. Cannot let 0 be in the denominator 2. Cannot take a square root of a negative number**Objective: Find the domain of a function, given a formula**for the function.**Find the domain of the following functions. State the**domain using set-builder notation**HW #3.3-4Pg 120-121 1-27 odd, 30-36Pg 125-126 3-9 Odd, 11,**17, 21, 25, 27, 36-42**Chapter 3Relations, Functions, and Graphs**3.4 Graphs of Linear Functions 3.5 Slope**Objective: Find the slope of a line containing a given pair**of points. Slope is the measure of how steep a line is**Objective: Find the slope of a line containing a given pair**of points. Slope is the measure of how steep a line is**Objective: Find the slope of a line containing a given pair**of points.**Objective: Find the slope of a line containing a given pair**of points.**Objective: Find the slope of a line containing a given pair**of points.**Objective: Find the slope of a line containing a given pair**of points.