91影视

The given function is $f\left(x\right)=x$

The objective is to plot the graph of this function.

To plot the graph of a function, create a table of a few input and output values.

Plot these values along $x$ and $y$ axes to form the graph of the function.

The given function is $f(x,y)=x+y$

The goal is to draw a graph of this function.

Make a table with a few input and output values to visualize the function's graph.

To make the graph of the function, plot these values along the $x$ and $y$ axes. In the values table, it is clear that for input of $x=0;y=0$ the value of output variable is

Thus, the point $(0,0,0)$ must lie on the graph of $f(x,y)=x+y$

The given function is $f(x,y,z)=x+y+z$

There are three input variables and one output variable in this function. Hence, the domain is a subset of ${\mathrm{鈩�}}^3$and the range is a subset of $\mathrm{鈩�}$

As a subset of ${\mathrm{鈩�}}^4$the graph will reflect the relationship between four variables. As a result, the graph has one more dimension than the function's domain. As a result, it is appropriately referred to as a hyperplane.

Consider the input values of $x=0;y=0;z=0$

Calculate the outcome for these inputs.

$$\begin{gathered} f(0,0,0)=0+0+0 \\ =0 \end{gathered}$$

Thus, the point $(0,0,0,0)$must lie on the graph of $f(x,y,z)=x+y+z$

The graph of the function $f\left(x_1,x_2,鈥�,x_n\right)=x_1+x_2+鈥�+x_n$ is a hyperplane of dimension $n$ in ${\mathrm{鈩�}}^{n-1}$