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Pre algebra lesson 8-1
 

Pre algebra lesson 8-1

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    Pre algebra lesson 8-1 Pre algebra lesson 8-1 Presentation Transcript

    • Relations and FunctionsObjective: To use tables and graphsto represent relations and functions.
    • 5-Minute CheckSolve each equation or inequality.2. 3x – 2 = 13
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5• 6 – 5x = 21
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5• 6 – 5x = 21 x = -3
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5• 6 – 5x = 21 x = -3• (2x + 7)/3 = x + 3
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5• 6 – 5x = 21 x = -3• (2x + 7)/3 = x + 3 x = -2
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5• 6 – 5x = 21 x = -3• (2x + 7)/3 = x + 3 x = -2• -12x > -24
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5• 6 – 5x = 21 x = -3• (2x + 7)/3 = x + 3 x = -2• -12x > -24 x<2
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5• 6 – 5x = 21 x = -3• (2x + 7)/3 = x + 3 x = -2• -12x > -24 x<2• 7x < 2x – 25
    • 5-Minute CheckSolve each equation or inequality.• 3x – 2 = 13 x=5• 6 – 5x = 21 x = -3• (2x + 7)/3 = x + 3 x = -2• -12x > -24 x<2• 7x < 2x – 25 x < -5
    • Relations and FunctionsA Relation is a set of ordered pairs. The set of thefirst coordinates is called the domain of therelation. The set of the second coordinates iscalled the range of the relation.
    • Relations and Functions x yExample: -4 5 -2 6 0 2
    • Relations and Functions x yExample: -4 5 -2 6Domain: {-4, -2, 0} 0 2
    • Relations and Functions x yExample: -4 5 -2 6Domain: {-4, -2, 0} 0 2Range: {5, 6, 2}
    • Relations and FunctionsA Function is a relation in which each element ofthe domain is paired with exactly one element inthe range.
    • Relations and Functions x y -4 5Example: -2 6 0 2 1 7 3 -5
    • Relations and Functions x y -4 5Example: -2 6 0 2 1 7 3 -5
    • Relations and Functions x y -4 5Example: -2 6 0 2 1 7 3 -5
    • Relations and Functions x y -4 5Example: -2 6 0 2 1 7 3 -5
    • Relations and Functions x y -4 5Example: -2 6 0 2 1 7 3 -5
    • Relations and Functions x y -4 5Example: -2 6 0 2 1 7 3 -5
    • Relations and Functions x y -4 5Example: -2 6 0 2 1 7 3 -5
    • Relations and Functions x y -4 5 Example: -2 6 0 2 1 7 3 -5The vertical line test can be used to determine if therelation is a function. Use a straight edge moved slowlyacross the graph to see if two point touch the edge atthe same time. This is a true test for all functions.
    • Relations and Functions5. x y 3 -4 Example: -1 7 -6 -8 1 11 4 13
    • Relations and Functions x y 3 -4Example: -1 7 -6 -8 1 11 4 13 Domain: {-6,-1,1,3,4} Is this relation a function? Range: {-8,-4,7,11,13}
    • 6. x y 0 -2 Example: -2 1 3 -2 -4 4 1 -3
    • 6. x y 0 -2 Example: -2 1 3 -2 -4 4 1 -3 Domain: {-4,-2,0,1,3} Is this relation a Range: {-3,-2,1,4} function?
    • 7. x y 0 4 Example: -1 4 -1 3 -1 0 5 1
    • 7. x y 0 4 Example: -1 4 -1 3 -1 0 5 1 Domain {-1,0,5} Is this relation a Range {0,1,3,4} function?