2. CHAPTER 3 GRAPHING LINEAR FUNCTIONS

3.  What you will learn:  Determine whether relations are functions  Find the domain and range of a functions  Identify the independent and dependent variable functions 3.1 FUNCTION

4.  What is a function? ESSENTIAL QUESTION

5.  Ordered Pair  Mapping Diagram PREVIOUS VOCABULARY

6.  Relation  Function  Domain  Range  Independent Variable  Dependent Variable CORE VOCABULARY

7.  Pairs inputs with outputs  When given as an ordered pairs, the x- coordinates are inputs and the y-coordinates are outputs RELATION

8.  A relation that pairs each input with exactly one output FUNCTION

9.  The set of all possible input values DOMAIN

10.  The set of all possible output values RANGE

11.  The variable that represents the input values of a function  It can be any value in the domain INDEPENDENT VARIABLE

12.  VERTICAL LINE TEST  A graph is a function when no vertical line passes through more than one point on the graph CORE CONCEPT

13.  What you will learn:  Identify linear functions using graphs, tables, and equations  Graph linear functions using discrete and continuous data  Write real-life problems to fit data 3.2 LINEAR FUNCTIONS

14.  How can you determine whether a function is linear or nonlinear? LEAVE 4 LINES ESSENTIAL QUESTION:

15.  linear equation in two variables  linear function  nonlinear function  solution of a linear equation in two variables  discrete domain  continuous domain CORE VOCABULARY

16.  an equation that can be written in the form y = mx + b  m and b are constants  Graph is a line LINEAR EQUATION IN TWO VARIABLES

17.  function whose graph is a nonvertical line  has a constant rate of change  can be represented by a linear equation in two variables LINEAR FUNCTION

18.  does not have a constant rate of change  its graph is not a line. NONLINEAR FUNCTION

19.  an ordered pair (x, y) that makes the equation true  The graph is the set of points (x, y) in a coordinate plane that represents all solutions of the equation SOLUTION OF A LINEAR EQUATON IN TWO VARIABLES

20.  set of input values that consists of only certain numbers in an interval DISCRETE DOMAIN

21.  set of input values that consists of all numbers in an interval FUNCTION NOTATION

22.  What you will learn:  Function notation to evaluate and interpret functions  Use function notation to solve and graph functions  Solve real-life problems using function notation 3.3 FUNCTION NOTATION

23.  How can you use function notation to represent a function? LEAVE 4 LINES ESSENTIAL QUESTION:

24.  Linear function  Quadrant PREVIOUS VOCABULARY

25.  Function notation CORE VOCABULARY

26.  f(x)  another name for y  read as “the value of f at x”  read as “f of x.”  g, h, j, and k are also used FUNCTION NOTATION

27.  Multiplication and Division Properties of Inequality  When multiplying or dividing each side of an inequality by the same negative number, the direction of the inequality symbol must be reversed to produce an equivalent inequality. CORE CONCEPT

28.  What you will learn:  Graph equations of horizontal and vertical lines  Graph linear equations in standard form using intercepts  Use linear equations in standard form to solve real-life problems 3.4 GRAPHING LINEAR EQUATIONS IN STANDARD FORM

29.  How can you describe the graph of the equation Ax + By = C? LEAVE 4 LINES ESSENTIAL QUESTION:

30.  Ordered Pair  Quadrant PREVIOUS VOCABULARY

31.  Standard form  x-intercept  y-intercept CORE VOCABULARY

32.  Ax + By = C  A, B, and C are numbers  A and B do not equal 0 STANDARD FORM

33.  Where the graph crosses the x-axis  Y=0  (x,0) X-INTERCEPT

34.  Where the graph crosses the y-axis  x=0  (0,y) Y-INTERCEPT

35.  Horizontal Lines  Goes from left to right  Crosses the y-axis  y = a number  No slope CORE CONCEPT

36.  Vertical Lines  Goes up and down  Crosses the x-axis  x = a number  Slope is undefined CORE CONCEPT

37.  What you will learn:  Write and graph compound inequalities  Solve compound inequalities  Use compound inequalities to solve real life problems 2.5 SOLVING COMPOUND INEQUALITIES

38.  How can you use inequalities to describe intervals on the real number line? ESSENTIAL QUESTION

39.  Compound inequalities VOCABULARY

40.  Formed by joining two inequalities with the word “and” or “or” COMPOUND INEQUALITIES

41.  Compound inequalities “and”  “and” is the intersection of the inequalities  “and” contains the solutions that are the same in both inequalities CORE CONCEPT

42.  Graphing Compound inequalities “or”  “or” is the union of the inequality’s solutions  “or” contains all the solutions for both inequalities CORE CONCEPT

43.  What you will learn: 2.6 ABSOLUTE VALUE EQUATIONS

44.  How can you solve an solve an absolute value equation? ESSENTIAL QUESTION:

45.  Compound inequality (2.5)  Mean (1.2) PREVIOUS VOCABULARY

46.  Absolute value inequality  Absolute deviation CORE VOCABULARY

47.  An inequality that contains and absolute value expression ABSOLUTE VALUE INEQUALITY

48.  Absolute value of the difference of x and the given number ABSOLUTE DEVIATION