How do you graph the function $y=x-1?$
Answer
611.7k+ views
Hint: 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.
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.
Recently Updated Pages
Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

A Paragraph on Pollution in about 100-150 Words

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

Trending doubts
One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Find the value of the expression given below sin 30circ class 11 maths CBSE

What do you mean by retardation What is its SI uni class 11 physics CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Difference between physical and chemical change class 11 chemistry CBSE

