Graphing One Variable Function

In the previous post we have discussed about add radicals calculator and In today’s session we are going to discuss about Graphing One Variable Function,
A graph is representation of a function on the x-y axis(Cartesian plane).It is a pictorial representation of the function on the plane. It is a curve on Cartesian plane and graphing is known as curve sketching.
One variable functions are those which involve only one known variable. The example of such a function can be: y=3 .Graphing one variable function gives rise to parallel lines in the Cartesian plane.
Let us first learn graphing a linear equation graph in steps and then take the one variable equation:
Suppose the equation is y=mx + c.
First step: Choose some convenient values of x and then find out the corresponding
values of y.
Second Step: Now put down the values of x and their corresponding values of y in a table.
Third step: Take a graph paper and the draw the axis with a suitable scale.
Fourth Step: Put down all the values from the table drawn in step 2 into the graph.
Fifth step: Join these lines to form a straight line where m is the slope and c is the y intercept of the line.

One variable function graph:

One variable functions are similar to the linear functions; just the difference is they have only one intercept other one is missing.Starting with an example:

1>Take y-3=0

Here y is constant with respect to all the values of x and is always 3. So, the graph shall look like a line parallel to the x axis.

Take another example:

2>x-4=0

Here x is constant for all the values of y and is equal to the 4 always .So the graph shall look like a line parallel to the y axis.

SO we saw the two different types of the one variable function which are parallel to the axis.

In the next session we will discuss about Graphing Square Root Functions and You can visit our website for getting information about math tutors and 10th model question papers.

Graphing Linear Functions examples

Hello students, Previously we have discussed about adding unlike fractions calculator and in this session we are going to study some of the examples of linear function graphs on the co-ordinate plane. We will learn how to draw the graph for linear functions in the algebra. Graphing linear functions is a very simple task. It just requires some of the calculations regarding the variables present in the equation and then plotting them on the co-ordinate axis. We need to use a ruler to draw the graph for linear functions on the co-ordinate plane. All the equations of the form Y = ax + b, where ‘a’ and ‘b’ are two numbers are the form of linear equations. Now proceeding further with graphing linear functions examples, we can take several examples for this blog. Lets we have an example of linear function graph Y = 2x + 4. So we first find all the related and corresponding values of both ‘x’ and ‘y’. Just like the calculation below we use the table and calculate the corresponding values for x and y. Here we have values for Y = 2x + 4:
Value of X   : -2, 0, 1, 2, 3
Values of  Y:  0, 4, 6, 8, 10
The graph for Y = 2x + 4 after putting all these values on the co-ordinate plane:

Let us take another example of linear function graph: Y = 5x – 3. Similar to above example we have to calculate the corresponding values of x and y on the table by putting x = 0 and y = 0 correspondingly:
Value of X   : -1,  0, 3/5, 1
Values of  Y: -8, -3, 0,   2

Now again as previous example graphing these all points on the co-ordinate plane we will get the required graph:

Similarly, we can draw any graph for linear equations.

In the next session we will discuss about Graphing One Variable Function and You can visit our website for getting information about free math answers and www cbse nic in com.

Exponential Function of Graphs

Previously we have discussed about area of a octagon calculator and In today’s session we are going to discuss about Exponential Function, The exponential functions are the type of those functions, which are given in the form of some exponent on a real number; this means that they are in the form of some base and its exponent. The exponential functions are given in the form of f(x) = a>x where ‘a’ is base and x is as the exponent part of the function. The number ‘a’ is base for exponent ‘x’. It is always positive and will not be equal to one. The exponent term ‘x’ can be either a real or complex number. The equation e>x is a specific type of exponential equation; here the value of e is approx. 2.718281818. The exponential equations are such type of rapid changing equations whose output values increase rapidly with a small change in value of exponent x. The exponential functions are represented in the form of f (x) = a>x where it is not necessary that ‘a’ is always equal to ‘e’.(Know more about Exponential Function in broad manner, here,)
The exponential function graphs are those graphs which are graphed with the help of data found by exponential graphs. All the exponential graphs are always positive in nature. They are upward sloping, and increase rapidly with the small change in ‘x’. All the exponential graphs always lies above the x axis on the co-ordinate plane and for the slope of any tangent on this graph is equal to the y co-ordinate of that point on the graph.
Graphing exponential functions is also similar to the graphing we have done in linear equations. Just for an example of graphing exponential functions, let we take a function f(x) = 2>x. So for graphing this equation, we find some of its corresponding value for both x and y.
Value of X: 0 1 2 3
Value of Y: 1 2 4 8
Now representing this graph on plane we will have:

In the similar way we can draw the graph of Y = 3>x. The above graphical figure has both the graphs on same plane.

In the next session we will discuss about Graphing Linear Functions examples and You can visit our website for getting information about chemistry tutor and ncert textbooks for class 9.

 

Different Graphs of Functions

Previously we have discussed about adding decimal calculator and In today’s session we are going to discuss about Graphs of Functions, The graph of a function is ordered pair of (x, f(x)) and where f is the element of that pair and x is a real number, f(x) is function of graph which contains the value of x. Graph means graphical representation of that pair, which contains the collection of element. The main concept of the graph of the function is graph of relation like y = f(x) here y is y-axis and another function f(x) is based on x –axis. Such functions can be represented by Function Graphs, and the graph is called graph of the equation.(Know more about Graphs in broad manner, here,)
Let’s see types of Different Graphs of Functions
1: Linear graph of function:  we know the general form of linear function is f(x) = ax+b where x is a variable of that function and a, b are the constant, let’s see single variable linear function example:
Suppose we have found of function value f(x) = 4x +7 at x =3
Solution: step 1: first we write the given function.
f(x) = 4x +7
Step 2:  we would put the value of x in this function
x=2
f(2) = 4×2+7 = 15
f(2) = 15
That was all about the linear graph of function
Now we will talk about the square root graph of function: The general form of square root function is f(x) = p√(x- q)+r where p, q, r are the constant for this function. Let’s see a square root based example:
Example: find the value of square root function f(x) =√(x+ 12) at x =4
Solution: for finding the value of function we need to follow the below steps:
Step 1: first we write the given function
f(x) =√(x+ 12)
Step 2 : in this step we plug the value of x
f(4) =√(4+ 12)   = √16 = 4

In the next session we will discuss about Exponential Function of Graphs and You can visit our website for getting information about algebra tutor and cbse syllabus class 10.

Linear Functions graph

Previously we have discussed about factor algebra calculator and In today’s session we are going to discuss about Graphing linear functions, It is pretty simple work. It just requires some of the calculations regarding the variables and the intercepts of the function and then plotting them on the co-ordinate axis. Before going through the graphing linear functions we have to understand the linear function. The linear functions are the type of the functions which are represented in the form of function f (x) = m x + c, where m is the slope of the function and is always non-zero. The constant term c is the intercept of the function on the co-ordinate axis. The linear functions graph is always a line having slope as m and the intercept from y axis is c. as c is the intercept with y axis then if c = 0 then the graph will be a horizontal line.(Know more about Linear Functions in broad manner, here,)

Now proceeding to the linear functions graph, we need to solve the linear function to get the points on the axis with the help of intercept and slope. Now suppose we have a line f (x) = y = 3x + 2. As we know that this function is a slope intercept form so we can evaluate slope as 3 and the intercept as 2. From the intercept c = 2, we can say that at point (0, 2) axis the line will intersect the y axis. So we can start the graph by putting a point on (0, 2). Now calculating the next point on the x-axis with the help of slope and y intercept value. So putting y = 0 we get x = -2/3, so other point will be (-2/3, 0). This can also be done by making a chart for the value of x and y. So plotting this graph with the help of these two points we get the graph:

Now we can graph a linear function easily and in the next topic we are going to discuss about some examples related to graphing these linear functions.

In the next session we will discuss about Different Graphs of Functions and You can visit our website for getting information about algebra help online and cbse question papers 2011.