Q 3. - Calculus

Question

Let f : R → R be a function of a single variable. Explain why the graph of f is a subset of $R^2$.

Step-by-Step Solution

Answer

The graph of f is a subset of  as the graph is plotted using two axes: x-axis and y-axis

Step 1. Given information

Function is $f:R\to R$

Step 2. Explanation

A graph is a graphical portrayal represents the relationship between the dependent and independent variables.

The input and output values are used to display the curve of a function.

For the function y=f(x), graph is to be mapped between two variables, 'x' and 'y'.

As a result, the graph will be plotted with two axes.

The concept of $R^2$ is as follows.

As a result, f graph must be a subset of $R^2$