Functions. Name. Use an XY Coordinate Pegboard to graph each line. Make a table of ordered pairs for each line. y = x + 5 x y.
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1 Lesson 1 Functions Name Use an XY Coordinate Pegboard to graph each line. Make a table of ordered pairs for each line. 1. = + = + = 2 3 = 2 3 Using an XY Coordinate Pegboard, graph the line on a coordinate plane. Make a table of ordered pairs for the line. 2. = 3 1 Make a table of ordered pairs for each equation. Graph and label each line on the coordinate plane. 3. = 2 4. = + 4 8
2 Name Challenge! Use the equations = 1 and = 2 3 to show how two points can be on the graph of a linear equation and also on the graph of a nonlinear equation. 9
3 Lesson 2 Functions Name Use an XY Coordinate Pegboard to model the graph of the function. Make a table of the ordered pairs. Is the function linear? Write es or no Using an XY Coordinate Pegboard, graph the function. Sketch the graph of the function. Is the function linear? Write es or no Determine if each function is linear. Write es or no
4 Name Challenge! How can ou determine without graphing a set of ordered pairs if the set of ordered pairs models a linear function? Show an eample. 63
5 Lesson 3 Functions Name Use an XY Coordinate Pegboard to plot the ordered pairs. Make a table. Write the equation of the line in the form = m + b. 1. m = b = Using an XY Coordinate Pegboard, model the line that contains the ordered pairs in the table. Sketch the model. Write the equation of the line in the form = m + b m = b = Write the equation of each line in the form = m + b
6 Name Challenge! Describe how to graph a line if all ou know are the slope and -intercept of the line. Draw a picture to help. 67
7 Lesson 4 Functions Name Use an XY Coordinate Pegboard to graph the line shown on the grid. Make a table of ordered pairs for si points on the line. Write an equation for the line in the form = m + b. 1. = Using an XY Coordinate Pegboard, graph the line for the equation given. Sketch the model. Make a table of ordered pairs for the line. 2. = Match each representation in the top row with its equation a. = b. = c. = 3 70
8 Name Challenge! For Questions 3 and, what information for the equation did ou get directl from the table and what information did ou have to make a calculation to find? Eplain. 71
9 Lesson Functions Name Use an XY Coordinate Pegboard to model the line determined b the points shown on the grid. Write the equation for the line. Answer each question. 1. equation: What is the ordered pair for the point on the line when = 30? What is the ordered pair for the point on the line when = 90? Using an XY Coordinate Pegboard, model the line determined b the ordered pairs given. Write an equation for the line. Answer each question. 2. (0, 2), (1, 6), and (3, 14) equation: What is the ordered pair for the point on the line when = 2? What is the ordered pair for the point on the line when = 6? Graph the line that passes through the given points. Write the equation of the line. Answer each question. 3. (0, 1), (2, 2), and (4, 3) equation: 10 What is the ordered pair for the point on the line when = 6? What is the ordered pair for the point on the line when = 20?
10 Name Challenge! What information do ou need to write the equation for a line? After ou have the equation, how can ou find additional points on the line when given a value for? 7
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