1. Check it out! 1 3.6.2: Constructing Functions from Graphs and Tables

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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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9. 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

10. 10 3.6.2: Constructing Functions from Graphs and Tables