Information on Math Functions

Introduction to information on math functions:

In this article information on math functions, we will refer definition of a function and some worked example problems. Function is defined as a equation where the terms present in one side will vary with the terms present on the other side. For example x=5b+6c here x is a dependent variable of b and c, since b and c are independent variables.

Information on Math Function

1.Function is defined as a collection of mathematical function which produce the result after performing the calculation.

For example y=(4x+5x)+`(5x)/2` -4(x+2)

After performing the right hand side calculation which produces the result.

2.The function is used to identify or compare the relationship between two numbers

y=f(x)=x+7

Here the value y is greater than x.

3.There are lot of functions like

logarithmic function Example: f(x)=log x

Trigonometric function Example: f(x)= sin x

Geometric function Example `y=x^2`

Exponential function `f(x)=e^x`. Understanding square root of 7 is always challenging for me but thanks to all math help websites to help me out.

Worked Example Problems - Information on Math Functions

Example problem 1- information on math functions:

The price of one lemon and watermelon is $80 then what is the price of 5 jack fruit and 5 watermelon?

Solution:

Consider lemon as x

Watermelon as y

So from the given statement x + y = 80-------1

The price of 5 lemon and 5 watermelon, 5x + 5y = ?

We can write the above equation as

The price of 5 lemon and 5 watermelon = 5(x+y)

From the first equation we can substitute the x+y value

The price of 5 lemon and 5 watermelon =5(x+y)

= 5(80) = 400

The price of 5 lemon and 5 watermelon = $400

Example problem 2 - information on math functions

If log8=0.903 then find the value of log16?

Solution:

The number 8 can also be written as` 2^3`

They have given that log` 2^3=0.903`

3 log2=0.903

So log2=0.3010

The value of log 16 is given by `log 2^4 =4 xx log2`

`=4 xx 0.3010`

log 16 =1.204

Example problem 3- information on math functions

Calculate the value of `e^2 xx e^3` =?

Solution:

From the above statement `e^x xx e^y=e^(x+y)`

So `e^2 xx e^3=e^(2+3)=e^5=148.4`

Example problem 4- information on math functions

Consider `cos x = (2/5)` .Find out the value for sin x=?

Solution:

From the statement `sin^2 x+cos^2 x=1`

`sin^2 x=1- cos^2 x`

`sin x=sqrt(1- cos^2 x)`

=`sqrt[1-(2/5)^2]`

=`sqrt[1-(4/25)]`

=`sqrt(21/25)`