Three linear Functions

Functions are the ordered pair of things .The first member of the ordered pairs are different from the others. Whole set of members of the functions are known as Domain. And the first member of the ordered pairs is called arguments. 1st degree polynomial functions are known as linear functions.

Forms of three linear functions:

Slope intercept form
Point- slope form
General form

m of Slope intercepts form of three linear functions:

It is most probably used to express the equation of a line. To do this we need to find the Slope of a line and y-intercept of a line.

Slope intercepts formula:

Y=mx+b

Where m is the slope of the line and b is the y- intercept. Slope intercept equation for a vertical line= x=b

Slope intercept equation for a Horizontal line y=b

Point slope form of three linear functions:

It refers the method of graphing the linear equation in the x-y axis. To draw the graph of a linear equation we have to plot the x and y coordinates on the graph. It is used to find the particular equation of a line. The equation of a point slope form is  Y-y1=m(x-x1)

General form:

The general form of the linear function is Ax+by+C=0.

Graph of a function for three linear functions:

The straight line is also known as the graph of the linear function. To graph the linear functions can be done in the three methods.

First method is the table of values is employed that is to assign the values for x and then solve the y.
The second method is known as slope intercept method.
Third method is the Intercept- intercept method


Example to three linear functions:

Example: To identify the degree of each of the polynomials given below:

(i)    a5 – a4 + 3

(ii)  2 – r2 – r3 + 2r8

Solution:

The highest power of the variable is 5. So the degree of the polynomial 5.

The highest power of the variable is 8. So the degree of the polynomial is 8.

The only term here is 2 which can be written as 2a0. So the exponent of a is 0.

Here 0 is the degree of the polynomial.