Question

How do you graph the function $y=x-1?$

Answer 1

First we will take some numbers randomly as $x$ values to graph the function. And then we will substitute those numbers for $x$ in the given function to find the corresponding $y$ values. So, we will get as many points as the $x$ values taken.

Complete step by step solution:
Let us consider the given function $y=x-1.$
We are asked to graph the given function. To graph the function, we need to find the coordinate points $\left( x,y \right)$ that satisfy the function when substituted for the respective variables.
In the expression, we can see that the value of $y$ changes according to the value of $x.$ So, the variable $x$ is independent and the variable $y$ is dependent. Therefore, we are free to choose two or three numbers randomly for the variable $x.$And we will get corresponding $y$ values.
We are going to choose the numbers $0,1$ and $2$ as $x$ values.
Using these values, we are going to find the $y$ values we need.
When we substitute $0$ in the place of $x$ in $y=x-1,$ we will get $y=0-1=-1.$
When we substitute $x=1$ in the given function, we will get $y=1-1=0.$
And when we substitute $x=2,$ that will give us $y=2-1=1.$
So, the three points we have found in order to graph the given function are $\left( 0,-1 \right),\left( 1,0 \right)$ and $\left( 2,1 \right).$
We can plot the graph using these points.
Hence the graph of the function $y=x-1$ is obtained as

Note: When we draw a graph, we need to mark at least two points through which the required curve passes on the plane. When we join these two points, we will get the required curve.