2Vocabulary Quiz Please match the following words with their definition A set of pairs of input and output valuesThe x-coordinates of the relational pairThe y-coordinates of the relational pairA way to show the relation between x & y valuesA relation in which each element of the domain is paired with exactly one element in the rangeA line which determines whether or not a graph is a functionf of x notationVertical Line TestMapping DiagramRangeRelationFunction NotationFunctionDomain
4Terminology Please put the ordered pairs from the previous slide in: Relation form (input values output)Identify the Domain (x-values)Identify the Range (y-values)Create a Mapping Diagram
5Is the Relation a Function??? Check out the Domain!Picture view - Mapping diagramOnly 1 arrow coming out of each xPractice(-2,-1)(0,3)(-2,3)(5,4)Practice(2,6)(3,6)(4,5)(7,8)
6More … Is this Relation a Function? Vertical Line TestPlot your points or Graph your EquationDraw a vertical line anywhere on the quadrant planeCount the number of times it cross the points or graphIf only 1 – YES!!! It is a functionIf more than 1 – NO It is not a function(Practice P58 Quick Check 5)
7Function Notation f(x) f(x)= (Spoken f of x)Whatever variable or number is right there plug in for the variable.Student paycheck example – How much will your paycheck be if you work?????- by hand- advanced grapher- Calculator
20Types of Lines: Horizontal Lines y = # Vertical Lines x = # Perpendicular Lines –slope =opposite, reciprocalY-intercept = any numberParallel Lines –Slope – SameY-intercept = any number other than original
34Graphing Inequalities It is just like graphing linear equationsSolve for y(Do not forget to flip sign if divide by a negative)Start at y-intercept (b)Plot slope (m)If < or > dotted line; If solid lineShade!!