Explanation Given information : The given function is f ( x ) = 2 3 x − 1 . Concept/definition used : A function f is a rule that assigns to each element x in a set D exactly one element, called f ( x ) , in a set E . The set D is called the domain of the function. The range of f is the set of all possible values of f ( x ) as x varies throughout the domain. Let f : A → B be a function then domain of the function f , D = A and the range R ⊆ E . Pictorial diagram of f : A → B is given here. Calculations: The given function is f ( x ) = 2 3 x − 1 . The set of values of variable ‘ x’ for which function fis defined is the domain. The function fis defined for all x ∈ ℝ (set of real numbers) except when 3 x − 1 = 0 ⇒ x = 1 3 . Thus the domain of the function f ( x ) is the set ℝ − { 1 3 } or ( − ∞ , ∞ ) − { 1 3 }

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 1, Problem 7E

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Tofind:The domain and range of a function.

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Chapter 1 Solutions

Biocalculus

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Tofind: The domain and range of a function.

Solution Summary: The author explains the domain and range of a function. The domain of the function is f(x)=23x-1.

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Tofind:The domain and range of a function.

Chapter 1 Solutions