Explanation The given graph passing through the points ( 0 , 1 2 ) , ( 1 , 1 ) , and ( 2 , 2 ) . Consider the function f ( x ) = 2 x and check whether it passes through the given points or not as shown in Table 1. x f ( x ) ( x , f ( x ) ) 0 f ( 0 ) = 2 0 = 1 ( 0 , 1 ) 1 f ( 1 ) = 2 1 = 2 ( 1 , 2 ) 2 f ( 2 ) = 2 2 = 4 ( 2 , 4 ) Table 1 From Table 1, it is clear that the function f ( x ) = 2 x does not passing through the graphing points ( 0 , 1 2 ) , ( 1 , 1 ) , and ( 2 , 2 ) , which indicated that the given graph cannot be graph of the function. Similarly, consider the function f ( x ) = 2 − x and check whether it passes through the given points or not as shown in Table 2. x f ( x ) = 2 − x ( x , f ( x ) ) 0 f ( 0 ) = 2 − ( 0 ) = 1 ( 0 , 1 ) 1 f ( 1 ) = 2 − 1 = 1 2 ( 1 , 1 2 ) 2 f ( 0 ) = 2 − ( 2 ) = 1 4 ( 2 , 1 4 ) Table 2 From Table 2, it is clear that the function f ( x ) = 2 − x does not passing through the graphing points ( 0 , 1 2 ) , ( 1 , 1 ) , and ( 2 , 2 ) , which indicate that the given graph cannot be graph of the function. Similarly, consider the function f ( x ) = 2 x + 1 and check whether it passes through the given points or not as shown in Table 3

4th Edition

ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

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Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 11.2, Problem 30E

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To match: The given graph to one of the given functions.

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Chapter 11 Solutions

Elementary & Intermediate Algebra

Ch. 11.1 - Given two functions f and g, the ____ ____,...Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

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To match: The given graph to one of the given functions.

Solution Summary: The author compares the function f(x)=2x with option (d).

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