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Check it out! 1 3.6.2: Constructing Functions from Graphs and Tables
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Read the scenario and use the table to complete problem 1. For problems 2 and 3, read each scenario and create a graph of each linear function. 2 3.6.2: Constructing Functions from Graphs and Tables
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1.The students in Mr. Jacobs’ class record their age in months and their height in centimeters. The data from 10 of the students is in the table. Create a graph of the students’ ages and heights. 3 3.6.2: Constructing Functions from Graphs and Tables Age in months Height in centimeters 162146 165149 164180 158126 156140 166183 160176 161193 167184 156125
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2.Elliot uses the equation f (x) = 65x to estimate the number of miles traveled after any number of hours, x, during a recent road trip. 3.A store is having a sale. T-shirts are $5, and the store is offering $3 off any purchase. The total purchase cost of any number of T-shirts can be represented by the equation f (x) = 5x – 3. 4 3.6.2: Constructing Functions from Graphs and Tables
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1.The students in Mr. Jacobs’ class record their age in months and their height in centimeters. The data from 10 of the students is in the table. Create a graph of the students’ ages and heights. Each point will be graphed as (x, y). 5 3.6.2: Constructing Functions from Graphs and Tables Age in months Height in centimeters 162146 165149 164180 158126 156140 166183 160176 161193 167184 156125
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Find the value of x in the horizontal x-axis, then find the value of y in the vertical y-axis. Find the point at which these two values meet on the coordinate plane. 6 3.6.2: Constructing Functions from Graphs and Tables
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2.Elliot uses the equation f (x) = 65x to estimate the number of miles traveled after any number of hours, x, during a recent road trip. Find two points on the line, and then draw a line through the two points. Evaluate the equation at two values of x to find the two points. Two easy values of x to use are 0 and 1. f (0) = 65 (0) = 0 f (1) = 65 (1) = 65 Two points are (0, 0) and (1, 65). 7 3.6.2: Constructing Functions from Graphs and Tables
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3.A store is having a sale. T-shirts are $5, and the store is offering $3 off any purchase. The total purchase cost of any number of T-shirts can be represented by the equation f (x) = 5x – 3. Find two points on the line, then draw a line through the two points. Evaluate the equation at two values of x to find the two points. Two values of x to are 3 and 5. f (3) = 5(3) – 3 = 12 f (5) = 5(5) – 3 = 22 Two points are (3, 12) and (5, 22). 9 3.6.2: Constructing Functions from Graphs and Tables
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10 3.6.2: Constructing Functions from Graphs and Tables
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