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Chapter 12: Q 4. (page 915)

Let f:R2→Rbe a function of two variables. Explain why the graph of f is a subset of R3.

Short Answer

Expert verified

The graph of f is a subset ofR3as it is plotted using three axes that denote x, y, z-axis.

Step by step solution

01

Step 1. Given information

Function isf:R2→R

02

Step 2. Explanation

A graph is a graphic representation of the relationship between input and output variables.

The input and output values are used to plot the graph of a function.

The graph for the function y=fxmust be plotted between three variables: x, y and z.

As a result, there will be three axes to plot on the graph.

The definition of R3is as follows.

As a result, f graph must be a subset ofR3

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