Name:________________________________________________________________________________Date:_____/_____/__________ Spiral Back: Evaluate: Evaluate the following when x = -2 and y = 3 5) xy + (y – x) 2 Solve the following equations: 1) Fraction:Decimal: Scientific NotationStandard Form 3)82,500,000 4) 3.4 x Decimal:Percent: 6) x – 4 = -127) 2x – 2 = -16 Let’s see what you remember!

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

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!!!

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

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:

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

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 ___ 4x - 2 WORDS 10 GRAPH See? An equation with BOTH x and y!!

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 xy xy ) __________ { (-2, 0); (0, 2); (2, 0); (4, 6) } 5) __________ { (-2, 0); (0, 3); (-2, 2 ); (5, 7) } x NOT YES NO YES NO

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

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.

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...

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 xy _____ 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!!!

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 xy xy ) __________ { (-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”

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:_____/_____/__________

Math-7 PRACTICE/ Homework NAME:_________________________________________________________________________________ DATE:_____/_____/__________

Math-7 PRACTICE/ Homework NAME:_________________________________________________________________________________ DATE:_____/_____/__________