Explanation Given: The functions are f ( x ) = | x | and h ( x ) = | x | + 3 . Graph: Consider the following function: f ( x ) = | x | For x = − 2 , Substitute − 2 for x . f ( − 2 ) = | − 2 | = 2 For x = − 1 , Substitute − 1 for x . f ( − 1 ) = | − 1 | = 1 For x = 0 , Substitute 0 for x , f ( 0 ) = | 0 | = 0 For x = 1 , Substitute 1 for x . f ( 1 ) = | 1 | = 1 For x = 2 , Substitute 2 for x . f ( 2 ) = | 2 | = 2 Construct a table, for various values of x , for the function, f ( x ) = | x | . x f ( x ) = | x | − 2 2 − 1 1 0 0 1 1 2 2 Consider the function, h ( x ) = | x | + 3 For x = − 2 , Substitute − 2 for x . h ( − 2 ) = | − 2 | + 3 = 2 + 3 = 5 For x = − 1 , Substitute − 1 for x

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ISBN: 9780135909942

Author: TOBEY/SLATER

Publisher: PEARSON

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 10, Problem 22RP

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To graph: The functions f(x)=|x| and h(x)=|x|+3 on one coordinate plane.

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Chapter 10, Problem 21RP

Chapter 10, Problem 23RP

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The functions f(x) = x² - 3 and g(x) = x² + 2 are shown on the graph. + N y 10 LO 5 f(x) = x² - 3 4 ♡ -3 -2 -10 -1 -2 -4- -5 x 2 3 4 56 7 8 9 g(x) = x² + 2 If the equations were changed to the inequalities shown, explain how the graph would change. y≤ x² - 3 y>-x²+2

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Chapter 10 Solutions

INTERMEDIATE ALGEBRA - 18 WEEK MML CODE

Ch. 10.1 - For the function f ( x ) = 3 x − 5 , find the...Ch. 10.1 - For the function , find the following. 2. Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - For the function , find the following. 7. Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

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To graph: The functions f ( x ) = | x | and h ( x ) = | x | + 3 on one coordinate plane.

Solution Summary: The author graphs the functions f(x)= left|x|right| and hld (x-), on one coordinate plane.

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To graph: The functions f(x)=|x| and h(x)=|x|+3 on one coordinate plane.

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Chapter 10 Solutions