We now turn our attention to functions of two or more variables. For example, the formula f(x, y) = x'y3 defines a function that gives us one output for each pair (2, y) which we input. If we plug in a = 2 and y = 1, we get f(2, 3) = (2) (1)° = 4 ·1 = 4. If we plug in x = 3 and y = - 1, we get f(3, – 1) = (3) (- 1)° = 9 - (– 1) = – 9. And there are infinitely many more points of the form (x, y) which we could input into f. %3D Using the same function f(x, y) defined above, evaluate the following expressions: f(1, 3) = f(2, 2) = f(- 2, - 2) = f(50, 0) =
We now turn our attention to functions of two or more variables. For example, the formula f(x, y) = x'y3 defines a function that gives us one output for each pair (2, y) which we input. If we plug in a = 2 and y = 1, we get f(2, 3) = (2) (1)° = 4 ·1 = 4. If we plug in x = 3 and y = - 1, we get f(3, – 1) = (3) (- 1)° = 9 - (– 1) = – 9. And there are infinitely many more points of the form (x, y) which we could input into f. %3D Using the same function f(x, y) defined above, evaluate the following expressions: f(1, 3) = f(2, 2) = f(- 2, - 2) = f(50, 0) =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:We now turn our attention to functions of two or more variables. For example, the formula f(x, y) = x²y
defines a function that gives us one output for each pair (x, y) which we input. If we plug in x = 2 and
y = 1, we get f(2, 3) = (2)“(1)° = 4 ·1 = 4. If we plug in x = 3 and y = - 1, we get
f(3, – 1) = (3)(– 1)° = 9 · ( – 1) = – 9. And there are infinitely many more points of the form (x, y)
which we could input into f.
%3D
|
Using the same function f(x, y) defined above, evaluate the following expressions:
f(1, 3) =
f(2, 2)
f(- 2, – 2) =
1
f(50, 0) =
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