Explanation Given information: The rational expression f ( x ) = 2 x + 3 . Concept Used: The domain of a functionis a set of input or argument values for which the function is defined. And value of a function f ( x ) at a point c is determined x = c by putting in that function. Calculation: To determine the domain of f ( x ) = 2 x + 3 , we have to look for the points where this function is defined. According to definition of a function, afunction is defined where the function has real value In case of a rational function, where f ( x ) = P Q Q ≠ 0 , there f ( x ) is defined As in f ( x ) = 2 x + 3 , Q = 1 ≠ 0 And, function will always give a real value Thus, this function will always have defined value. Now, the maximum value that the function can take as input is ∞ whereas the minimum value that the function can take as input is − ∞ . So, domain of the given function is ( − ∞ , ∞ )

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 1.4, Problem 1PS

To determine

The domain of given function, and to find f(−2),f(1),f(0) .

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Chapter 1.3, Problem 60PS

Chapter 1.4, Problem 2PS

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Chapter 1 Solutions

Student's Solution and Survival Manual for Calculus

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The domain of given function, and to find f ( − 2 ) , f ( 1 ) , f ( 0 ) .

Solution Summary: The author explains the rational expression f(x)=2x+3 to determine the domain of a function.

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The domain of given function, and to find f(−2),f(1),f(0) .

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Chapter 1 Solutions