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TODAY IN ALGEBRA 1β¦ Warm Up: Review properties of a function Learning Goal: 1.7 You will represent functions as graphs Independent Practice β NO A.T. Exit Task: Review No school Friday
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WARM UP: Does the following table represent a function? Identify the domain and range. Write a rule for the function. YES! The table represents a FUNCTION. One input is paired with one output. INPUT (x) OUTPUT (y) 3 9 6 15 21 3 6 3 6 3 6 DOMAIN RANGE SLOPE=2 Y-intercept=3 RULE: π¦= π ππππ π₯+ π¦βπππ‘ππππππ‘ π=ππ+π
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Copy the following important VOCABULARY into your notebooks:
REVIEW-DEFINING PARTS OF A FUNCTION: Copy the following important VOCABULARY into your notebooks: FUNCTION: INPUT: OUTPUT: One input has exactly one output. (x), DOMAIN, independent variable (y), RANGE, dependent variable
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TABLES REPRESENT ORDERED PAIRS!!!
INPUT (x) OUTPUT (y) 3 9 6 15 21 x y 3 6 9 15 21 This is important because, given ordered pairs, we can graph these points!
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EXAMPLE 1: GRAPHING USING ORDERED PAIRS
Graph the following ordered pairs on a grid. Make sure to make an appropriate scale. ORDERED PAIRS 10 x y 3 6 9 15 21 8 6 4 2 1 2 3 4 5
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PRACTICE: GRAPHING USING ORDERED PAIRS
Graph the following ordered pairs on a grid. Make sure to make an appropriate scale ORDERED PAIRS 5 x y 2 4 6 8 1 3 4 3 2 1 1 2 3 4 5
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EXAMPLE 2: WRITING A RULE FOR FUNCTIONS REPRESENTED BY GRAPHS
ORDERED PAIRS 1 2 3 4 5 x y 1 2 1 1 2 3 1 1 3 4 1 1 4 5 1 1 5 6 DOMAIN RANGE y-intercept RULE: π¦= π ππππ π₯+ π¦βπππ‘. π=ππ+π
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PRACTICE: In your notebooks, write the ordered pairs in a table, define the domain and range, then write a rule for the function. ORDERED PAIRS x y 1 2 3 4 5 6 2 β1 2 5 β1 2 y-intercept 4 4 β1 2 6 3 2 β1 8 2 DOMAIN RANGE RULE: π¦= π ππππ π₯+ π¦βπππ‘. π=β π π π+π
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You must complete exit task before you are dismissed.
Pg. 48 QUIZ for Lesson 1-5 ALL You must complete exit task before you are dismissed.
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HOMEWORK #6: Pg. 46: 3-5, 10-13, 15, 16 Use graph paper!!!
If finished, work on other assignments: HW #1: Pg. 5: 3-12, 15-28, 34 HW #2: Pg. 10: 3-6, 11, 14, 15, 18, 22-26 HW #3: Pg. 18: 3-12, 15-21 HW #4: Pg. 24: 3-8, 12-28 HW #5: Pg. 38: 1-8, 12-14, 17, 25
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