How do you graph the function $y = 5$?
Answer
623.4k+ views
Hint: A graph is a visual diagram used to represent equations or functions or any statistical information through lines or curves. To plot a graph for an equation, we must know the coordinates of the graph. Coordinates of the graph can be found by assuming certain values for either $x$ or $y$ in the given equation and then finding out the value of another variable with the help of the first.
We must know that the function given in the question is a constant function. A constant function is a type of function whose output value is the same for every input value. It has the form of $y = c$ where $c$ is a constant. Here for $y = 5$, since whatever be the value of $x$, the value of $y$ will be $5$ only.
Complete Step by Step Solution:
The given equation for which the graph shall be plotted is $y = 5$. Since whatever be the value of $x$, the value of $y$ will only be $5$. Therefore the coordinates of the graph for $y = 5$ will be in the form of $(x,5)$ where $x$ can assume any value.
Hence, the graph will be a horizontal line passing through the $y$-axis which will be at a distance of $5$ units from the origin $(0,0)$. The coordinates of the point at which the graph will intersect the $y$-axis are $(0,4)$as the value of $x$ coordinates on the $y$-axis are $0$.
With the help of all the information, we can plot the required graph as given below:
Note:
It is fascinating to know that the graph of both the $x$-axis and $y$-axis can also be defined. The graph of $y$-axis is expressed as $x = 0$ whereas the graph of $x$-axis is expressed as $y = 0$.
We must know that the function given in the question is a constant function. A constant function is a type of function whose output value is the same for every input value. It has the form of $y = c$ where $c$ is a constant. Here for $y = 5$, since whatever be the value of $x$, the value of $y$ will be $5$ only.
Complete Step by Step Solution:
The given equation for which the graph shall be plotted is $y = 5$. Since whatever be the value of $x$, the value of $y$ will only be $5$. Therefore the coordinates of the graph for $y = 5$ will be in the form of $(x,5)$ where $x$ can assume any value.
Hence, the graph will be a horizontal line passing through the $y$-axis which will be at a distance of $5$ units from the origin $(0,0)$. The coordinates of the point at which the graph will intersect the $y$-axis are $(0,4)$as the value of $x$ coordinates on the $y$-axis are $0$.
With the help of all the information, we can plot the required graph as given below:
Note:
It is fascinating to know that the graph of both the $x$-axis and $y$-axis can also be defined. The graph of $y$-axis is expressed as $x = 0$ whereas the graph of $x$-axis is expressed as $y = 0$.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry 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

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

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

