Sunday 25 March 2012

Linear non-linear functions

Linear functions can be defined as the functions that are denoted by the straight line or their equation is presented in the form of y = m x + c .Sometimes Linear functions are also describe as the equation that has variable with no power means highest power of the variable is one .This topic helps to understand basic concepts of grade VII.
When we talk about the non linear function then it is denoted as the functions whose graphs are not a straight line. These non linear functions are also known by different names as quadratic equation or cubic equations etc. means when the power of the variable in the given equation is greater than one then these types of equations are known as non linear equation. As if we define non linear equations as p a2 + q a + r = b is an example of quadratic equation that is defined within the non linear equation or a cubic equation that is also the non linear equation is defined as,
b = p a3 + q a2 + r a + s but we should keep in mind that value of ‘a’ will never be zero.
If we want to know that which equation is linear or which one is non linear then, check the exponent value on the variable ‘x’, if value of exponent is not greater than one then the expressions is defined as the linear function otherwise expression is non linear function . (know more about cbse question papers, here)
If the expression in the form of f (a) = p a + q then these types of functions are surely linear functions.
The other way to find the linear or non linear function is vertical line set.
In the next session we are going to discuss Simplifying numerical expressions

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