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Name:________________________________________________________________________________Date:_____/_____/__________ Spiral Back: Evaluate: Evaluate the following when x = -2 and y = 3 5) xy + (y – x) 2 Solve the following equations: 1) 10 -3 Fraction:Decimal: Scientific NotationStandard Form 3)82,500,000 4) 3.4 x 10 -4 Decimal:Percent: 6) x – 4 = -127) 2x – 2 = -16 Let’s see what you remember!
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Today’s Lesson: What: Identifying a function Why: To identify a function and become familiar with basic function vocabulary. What: Identifying a function Why: To identify a function and become familiar with basic function vocabulary. Input Output
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What to expect in this unit... COORDINATE PLANE SOUND FAMILIAR?? In this unit, we will be graphing linear equations on a coordinate plane. Let’s see what you remember about plotting points!!!
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Coordinate plane review: Label the following parts: originx axisy axisQuad I Quad II Quad III Quad IV On the above coordinate plane, plot the following points: A (2, 3) B (-3,-1) C (0, -6) D (9, -5) E (-6, 0) F (-4, 6) G (4, -4) A B C D E F G origin x y Q I Q II Q III Q IV
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3 ways to name “x” and “y”: xy INPUT RANGE INDEPENDENT What is the Domain of the following relation? {(1,2); (2,3); (3, 4); (4,5)} _____________________________________ What is the Range of the following relation? {(1,3); (2,5); (3, 7); (4,9)} ______________________________________ OUTPUT DOMAIN DEPENDENT D = {1, 2, 3, 4} R = {3, 5, 7, 9} Essential vocabulary:
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Ordered Pair A name we use for the x and _______ values that make up a point on the coordinate plane. Relation A group of ordered _____________________. Function A special ___________________ of relation where there is one and only one “y” value for every “x” value. (“x” can never repeat) All functions are relations, but Not all relations are functions!!! y pairs TYPE
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4 ways to represent a function: As a table As an equation y = _______ 1 With ___________ “y is equal to the product of 4 and x, minus two.” 2 3 As a _________ 4 xy 0-2 12 26 3___ 4x - 2 WORDS 10 GRAPH See? An equation with BOTH x and y!!
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How to identify a function... METHOD ONE: Look to see if the “x” values repeat... If there is more than one _______ value that is the same #, then the relation is ___________ a function! Are the following examples functions? Answer “YES” or “NO” 1)___________ 2) _____________ 3) ______________ xy 03 13 23 33 xy -50 05 510 15 xy -2 00 -4 12 4) __________ { (-2, 0); (0, 2); (2, 0); (4, 6) } 5) __________ { (-2, 0); (0, 3); (-2, 2 ); (5, 7) } x NOT YES NO YES NO
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1)__________ 2) __________ 3) __________ 4) __________ METHOD TWO: VERTICAL LINE TEST — Look at the graph of the function. If any two points on the graph can be connected by a ________________ line, then the relation is NOT a function! Are the following examples functions? Answer “YES” or “NO” vertical YES NO YES NO
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END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.
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Math-7 NOTES DATE: ______/_______/_______ What: identifying a function Why: To identify a function and become familiar with basic function vocabulary. What: identifying a function Why: To identify a function and become familiar with basic function vocabulary. NAME: Coordinate plane review: Label the following parts: originx axisy axis Quadrant I Quadrant II Quadrant III Quadrant IV On the above coordinate plane, plot the following points: A(2, 3)B(-3, -1)C(0, -6)D(9, -5)E(-6, 0)F(-4, 6)G(4, -4) Essential vocabulary: xy INPUT RANGE INDEPENDENT What is the Domain of the following relation? {(1,2); (2,3); (3, 4); (4,5)} _________________________________ What is the Range of the following relation? {(1,3); (2,5); (3, 7); (4,9)} _________________________________ 3 ways to name x and y...
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4 ways to represent a function: As an equation y = _______ With ___________ “y is equal to the product of 4 and x, minus two.” As a _______ As a table 1 2 3 4 xy 0-2 12 26 3_____ Ordered Pair A name we use for the x and _____ values that make up a point on the coordinate plane. Relation A group of ordered __________________. Function A special _______________ of relation where there is one and only one “y” value for every “x” value. (“x” can never repeat) All functions are relations, but Not all relations are functions!!!
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How to identify a function... METHOD ONE: Look to see if the “x” values repeat... If there is more than one _______ value that is the same #, then the relation is ______ a function! Are the following examples functions? Answer “YES” or “NO” 1)____________ 2) _______________ 3) _______________ xy 03 13 23 33 xy -50 05 510 15 xy -2 00 -4 12 4) __________ { (-2, 0); (0, 2); (2, 0); (4, 6) } 5) __________ { (-2, 0); (0, 3); (-2, 2 ); (5, 7) } METHOD TWO: VERTICAL LINE TEST —Look at the graph of the function. If any two points on the graph can be connected by a ________________ line, then the relation is NOT a function! 1) __________ 2) __________ 3) __________ 4) __________ Are the following examples functions? Answer “YES” or “NO”
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1) On the below coordinate plane, plot the following points (label each pt. with its letter): A(6, 2)B(-4, 6)C(0, -2)D(-2, -5)E(8, -3)F(-9, 0)G(-3, -4) 2)We have 3 ways to name both the “x” variable and the “y” variable. Fill in the missing information with the appropriate vocabulary: 3) What is the Domain of the following relation? {(0,3); (-5,5); (-2, 7); (8,9)} D = _________________________________ 4) What is the Range of the following relation? {(1,-2); (2,0); (3, 2); (4,4)} R= _________________________________ 5) A __________________________________ is a group of ordered pairs. A ________________________________ is a special type of relation where all the “x” values match with one and only one “y” value. (the “x” can never repeat). 6) What are the 4 ways to represent a function (from our notes)? xy Output Math-7 Exit ticket NAME:_________________________________________________________________________________ DATE:_____/_____/__________
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Math-7 PRACTICE/ Homework NAME:_________________________________________________________________________________ DATE:_____/_____/__________
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Math-7 PRACTICE/ Homework NAME:_________________________________________________________________________________ DATE:_____/_____/__________
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