Definition of Mathematical Function

Introduction to definition of mathematical function:

A mathematical function is equations that assigns  only answer to every possible query. A variable indicates to unknown value in the function's equation. The function's key variable is generally denoted by an x. This is the self-determining variable to the purpose. The function's output is a variable generally denoted by y. Let us see about the topic definition of mathematical function are given some example with solution are shown below content.

Example Problem for Definition of Mathematical Function

Example problem 1:-Using definition of mathematical function
To calculate the equation x =16y+1

Solution:

Step: 1 x is a function of y, because of every value of y; there is only one value of x.

Step: 2 If we substitute y=4, we get x=65 and no other value.

Step: 3 The values of x only depend on the values selected for y.

Step: 4 So from this we obtain, independent variable is y and needy variable is x.

Example Problem 2:-using Definition of Mathematical Function

To calculate the equation A =9B+4

Solution:

Step: 1 A is a function of B, because of every value of B; there is only one value of A.

Step: 2 If we substitute B=2, we get A=22 and no other value.

Step: 3 The values of A only depend on the values chosen for B.

Step: 4 So from this we obtain, independent variable is B and dependent variable is A.

Between, if you have problem on these topics functions and linear equations and inequalities, please browse expert math related websites for more help on math answers to problems.

Example Problem 3:-using Definition of Mathematical Function

To calculate the given equation 4x2+6x+4

Solution:

Step 1: Given 4x2+6x+4

Step 2: It is a different example and it can be write in a function like,

Step 3: f(x)= 4x2 + 6x + 4

Step 4: Function is nothing but just substitution.

Step 5: Simply, f(x) =f (a) when x=a

I.e if x=2 means like

y=4(22) +6(3) +4

f (2)=4(4)+18+4

=16+18+4

=38.

So when x=2, the value of the function f(x) =38.