Explanation Given information: The function is square function and the coordinates are ( 6 , 36 ) , ( 4 , 8 ) , ( − 2 , 4 ) , ( − 3 , 6 ) , ( 5 , 25 ) , ( 6 , 12 ) and ( − 6 , 36 ) . Calculation: The square function can be expressed as, y = x 2 ....... (1) Here, “ x ” is the input of the function and “ y ” is the output of the function. Take first point ( 6 , 36 ) where the input is 6 and the output is 36. Check whether the point ( 6 , 36 ) is the coordinate of the squared function or not. Substitute 6 for x in equation (1) to obtain the output of the function. y = ( 6 ) 2 y = 36 The output is 36 therefore the point ( 6 , 36 ) is the coordinate of the squaring function. Take second point ( 4 , 8 ) where the input is 4 and the output is 8. Check whether the point ( 4 , 8 ) is the coordinate of the squared function or not. Substitute 4 for x in equation (1) to obtain the output of the function. y = ( 4 ) 2 y = 16 The output is 16 therefore the point ( 4 , 8 ) is not the coordinate of the squaring function. Take third point ( − 2 , 4 ) where the input is − 2 and the output is 4. Check whether the point ( − 2 , 4 ) is the coordinate of the squared function or not. Substitute − 2 for x in equation (1) to obtain the output of the function. y = ( − 2 ) 2 y = 4 The output is 4 therefore the point ( − 2 , 4 ) is the coordinate of the squaring function. Take fourth point ( − 3 , − 6 ) where the input is − 3 and the output is − 6

Mathematics For Elementary Teachers With Activities

5th Edition

ISBN: 9780134423401

Author: Sybilla Beckmann

Publisher: PEARSON

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Chapter 9.6, Problem 15P

To determine

To check: Whether the points (6,36),(4,8),(−2,4),(−3,6),(5,25),(6,12) and (−6,36) are the points of the squaring function on the graph or not.

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Chapter 9.6, Problem 14P

Chapter 9.6, Problem 16P

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Chapter 9 Solutions

Mathematics For Elementary Teachers With Activities

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To check: Whether the points ( 6 , 36 ) , ( 4 , 8 ) , ( − 2 , 4 ) , ( − 3 , 6 ) , ( 5 , 25 ) , ( 6 , 12 ) and ( − 6 , 36 ) are the points of the squaring function on the graph or not.

Solution Summary: The author explains how the square function can be expressed as, y=x2.

To check: Whether the points (6,36),(4,8),(−2,4),(−3,6),(5,25),(6,12) and (−6,36) are the points of the squaring function on the graph or not.

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Chapter 9 Solutions