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Chapter 1.1, Problem 1E

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Calculus: Early Transcendentals (2...

2nd Edition
William L. Briggs + 2 others
ISBN: 9780321947345

Solutions

Chapter
Section
BuyFindarrow_forward

Calculus: Early Transcendentals (2...

2nd Edition
William L. Briggs + 2 others
ISBN: 9780321947345
To determine

To explain: How a function relates one variable to another using the terms domain, range, independent and dependent variables.

Answer

Answer:

A function can be defined as, for every independent variable in domain there exist a unique dependent variable in range.

Explanation

Explanation:

Function is a collection of well defined objects such that for every element in domain there exists a unique element in range.

Consider a function y=f(x) . In which the set of all x values are called the domain and the set of all y values are called the range.

Since y is a function of x, x is called independent variable and y is called the dependent variable.

Therefore, the value of y changes as x changes.

Hence, the function can be expressed as, for every independent variable in domain there exist a unique dependent variable in range.

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