Concept explainers
Fill in the blanks.
1. The domain of a function f of two variables is a subset of the _______ -plane. The rule of f associates with each___ _____ in the domain of f one and only one ______, denoted by z = _______.
To fill: “The domain of a function f of two variables is a subset of the _______-plane. The rule of f associate with each ______ _____ in the domain of f one and only one _______, denoted by
Answer to Problem 1CRQ
“The domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by
Explanation of Solution
Suppose that f is a real valued function and consist of two variables x and y.
These variables are called independent variables.
The domain of the function is a set of ordered pairs of real numbers
Each ordered pair in the domain will associate with only one real number.
That real number is denoted as z, which is dependent on the values of x and y. So, z is called dependent variable.
Here
Thus, “the domain of a function f of two variables is a subset of the xy-plane. The rule of f associate with each ordered pair in the domain of f one and only one real number, denoted by
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Chapter 8 Solutions
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