Learning Constant

Introduction

In this article we are going to see about math constant.  Constant is the term which has a preset value (such as 4, 6.5, 3/4, `pi`, or the square root of five) and it does not solve any variable. If there is no such phrase in an expression or equation then the constant term is taken as zero. Every polynomial equation in standard form has unique constant expression is considered as x0. The constant expression always has the lowest degree term. These articles mainly improve the constant learning skill.

 

Evaluation of learning constant:-

 

Let us considered an expression,

ax2 + bx + c = d.

Now modify the above expression as

ax2 + bx = d – c.

We have four expressions in the above expression. Generally the expression which does not have any variables is refereed as Constant. The first and second terms in the left side has the variables (x2, x) while the third and fourth term (c, d) in the right side does not contain any variables with it. So, the inconsistent d and -c is the constant expression.

For example,

In the equation,

x2 + 5x + 6 = 7.

Simplify the equation x2 + 5x + 6 = 7

x2 + 5x = 7 - 6

x2 + 5x = 1

Here the third term 1 is the constant expression.

 

Examples of learning constant:-

 

Learning constant problem 1:

Find and solve the constant expression in the equation 7x2 - 6x +1.

Solution:

In the equation 7x2 - 6x + 1, the first two terms has the variables like x2 and x.

The third expression does not have any variables.

Generally the word which does not contain any variable is referred as constant expression,

So, the third expression 1 is the constant phrase in the expression 7x2 - 6x +1.

  

Characteristics of a constant function:-

 

1. F: P → Q is a constant function.

2. For all functions y, z: R → P, x o y = x o z, (where "o" denotes function composition).

3. The composition of function f with any other function is also a constant function.

In contexts where it is defined to the function, the imitative of a function measures how that function varies with regard to the variation of some argument. It follows that, since a constant function does not vary at anywhere, its derivative, where defined, will be zero. Constant function is defined as a function whose values are does not change at anywhere. For example, if we have the function f (a) = 6, then f is constant since f maps any value to 6. More formally, a function f: P → Q is a constant function if f (a) = fb) for all ‘a’ and ‘b’ in P.