Explanation Formula used: Graph of linear function: A function f of the form f ( x ) = m x + b is called a linear function. The graph of the equation y = m x + b represents a line with slope m and y- intercept b . Calculation: Solve the equation ( x + y ) 2 = 4 as follows. ( x + y ) 2 = 4 ( x + y ) 2 = 4 x + y = ± 2 Thus, the graph contains two parallel lines x + y = 2 , x + y = − 2 . That is, y = − x + 2 , y = − x − 2 . Both lines have the same slope at m = − 1 . Here, y- intercept is 2 and slope is m = − 1 for y = − x + 2 by using the linear function mentioned above. Graph the point ( 0 , 2 ) and from there go down − 2 unit and to the right 2 unit and graph a second point To determine b. To draw: The graph | x + y | = 1 and justify the solution. To determine c. To draw: The graph | x | = 1 and y is any real number. Justify the solution. To determine d. To draw: The graph | y | = 1 and x is any real number. Justify the solution.

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

12th Edition

ISBN: 9780321987297

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Chapter 8.5, Problem 5MC

To determine

a.

To draw:

The graph (x+y)2=4 and justify the solution.

To determine

b.

To draw:

The graph |x+y|=1 and justify the solution.

To determine

c.

To draw:

The graph |x|=1 and y is any real number. Justify the solution.

To determine

d.

To draw:

The graph |y|=1 and x is any real number. Justify the solution.

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Chapter 8.5, Problem 4MC

Chapter 8.5, Problem 6MC

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Chapter 8 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

Ch. 8.1 - Use the fact that each prime in the prime...Ch. 8.1 - Find the value of 3 on a calculator. Explain why...Ch. 8.1 - Is it true that a+b=a+b for all a and b? If not,...Ch. 8.1 - The number 227 can be written as an infinite...Ch. 8.1 - a. Use the fact that if a prime p appears in the...Ch. 8.1 - Without using a calculator, order the following....Ch. 8.1 - a. To prove that 2335 a student wrote the...Ch. 8.1 - The sequence 1,1.01,1.001,1.0001,... is an...Ch. 8.1 - Let each number of a group choose a number between...Ch. 8.1 - Prob. 11MC

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