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Math Algebra Video Organizer For Intermediate Algebra

The graph of the given function, and label the vertex. Solution: The graph of the f ( x ) = 3 | x | is shown in Figure (1), its vertex is labeled. Calculations: The given function is, f ( x ) = 3 | x | …… (1) Rewrite the function in the form of f ( x ) = a | x − h | + k , where ( h , k ) is the vertex, f ( x ) = 3 | x − 0 | + 0 The vertex of the function is ( 0 , 0 ) and is V-shaped. Since, a > 0 , the V-shape opens up. Find the ordered pairs to plot the graph, Substitute − 1 for x in equation (1), f ( x ) = 3 | − 1 − 0 | + 0 = 3 | − 1 | = 3 ⋅ 1 = 3 Substitute − 2 for x in equation (1), f ( x ) = 3 | − 2 − 0 | + 0 = 3 | − 2 | = 3 ⋅ 2 = 6 Substitute − 3 for x in equation (1), f ( x ) = 3 | − 3 − 0 | + 0 = 3 | − 3 | = 3 ⋅ 3 = 9 Substitute 1 for x in equation (1), f ( x ) = 3 | 1 − 0 | + 0 = 3 ⋅ 1 = 3 Substitute 2 for x in equation (1), f ( x ) = 3 | 2 − 0 | + 0 = 3 ⋅ | 2 | = 3 ⋅ 2 = 6 Substitute 3 for x in equation (1), f ( x ) = 3 | 3 − 0 | + 0 = 3 ⋅ | 3 | = 3 ⋅ 3 = 9 The points are shown in Table (1), x f ( x ) − 1 3 − 2 6 − 3 9 1 3 2 6 3 9 Table (1) Plot the points from above table and join them to get the graph of given equation. Figure (1) Figure (1) is the required graph of function. Final statement: Therefore, the graph of the f ( x ) = 3 | x | is shown in Figure (1).

The graph of the given function, and label the vertex. Solution: The graph of the f ( x ) = 3 | x | is shown in Figure (1), its vertex is labeled. Calculations: The given function is, f ( x ) = 3 | x | …… (1) Rewrite the function in the form of f ( x ) = a | x − h | + k , where ( h , k ) is the vertex, f ( x ) = 3 | x − 0 | + 0 The vertex of the function is ( 0 , 0 ) and is V-shaped. Since, a > 0 , the V-shape opens up. Find the ordered pairs to plot the graph, Substitute − 1 for x in equation (1), f ( x ) = 3 | − 1 − 0 | + 0 = 3 | − 1 | = 3 ⋅ 1 = 3 Substitute − 2 for x in equation (1), f ( x ) = 3 | − 2 − 0 | + 0 = 3 | − 2 | = 3 ⋅ 2 = 6 Substitute − 3 for x in equation (1), f ( x ) = 3 | − 3 − 0 | + 0 = 3 | − 3 | = 3 ⋅ 3 = 9 Substitute 1 for x in equation (1), f ( x ) = 3 | 1 − 0 | + 0 = 3 ⋅ 1 = 3 Substitute 2 for x in equation (1), f ( x ) = 3 | 2 − 0 | + 0 = 3 ⋅ | 2 | = 3 ⋅ 2 = 6 Substitute 3 for x in equation (1), f ( x ) = 3 | 3 − 0 | + 0 = 3 ⋅ | 3 | = 3 ⋅ 3 = 9 The points are shown in Table (1), x f ( x ) − 1 3 − 2 6 − 3 9 1 3 2 6 3 9 Table (1) Plot the points from above table and join them to get the graph of given equation. Figure (1) Figure (1) is the required graph of function. Final statement: Therefore, the graph of the f ( x ) = 3 | x | is shown in Figure (1).

Video Organizer For Intermediate Algebra

Video Organizer For Intermediate Algebra

7th Edition

ISBN: 9780134197265

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter A.3, Problem 24E

Chapter B, Problem 2E

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Video Organizer For Intermediate Algebra

Ch. B - Prob. 1E Ch. B - Prob. 2E Ch. B - Prob. 3E Ch. B - Prob. 4E Ch. B - Prob. 5E Ch. B - Prob. 6E Ch. B - Prob. 7E Ch. B - Prob. 8E Ch. B - Prob. 9E Ch. B - Prob. 10E

Ch. B - Prob. 11E Ch. B - Prob. 12E Ch. B - Prob. 13E Ch. B - Prob. 14E Ch. B - Prob. 15E Ch. B - Prob. 16E

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