Explanation Given: The function is: g ( t ) = 2 − t . Formula used: Domain: In the graph, domain consists of all input values shown on the x − axis. Range: In the graph, co-domain consists of all output values shown on the y − axis. Calculation: The function is: g ( t ) = 2 − t . Let y = g ( t ) . According to the function, y is range set. Find the domain from the function g ( t ) = 2 − t . g ( t ) ≥ 0 Substitute the value of function. 2 − t ≥ 0 2 ≥ t t ≤ 2 Thus, the domain is D = { t : t ≤ 2 } or ( − ∞ , 2 ]

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Question

Chapter 1.1, Problem 48E

To determine

Find the domain and range of the function.

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Chapter 1.1, Problem 47E

Chapter 1.1, Problem 49E

Chapter 1 Solutions

CALCULUS (CLOTH)

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Find the domain and range of the function.

Solution Summary: The author explains the formula used to determine the domain and range of the radical function.

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Chapter 1 Solutions