Do you know? What is the difference between Function and Equation in Mathematics?

in #steemit6 years ago

WHAT IS THE PRECISE DIFFERENCE BETWEEN FUNCTION AND EQUATION? IN WHICH CASE WILL IT BE WRONG IF USED (COMMON MISTAKES)? ALSO WILL THE VENN DIAGRAM OVERLAP IF I WERE TO DRAW ONE? ANY HELP AND DISCUSSIONS WILL BE APPRECIATED.

Function:

f(x)= y

A function is a transformation or mapping of one thing into another thing. It might be written as a rule (e.g. "Take the input and square it"), as a formula ("e.g. f(x)=x^2 or x↦x^2, as a set of ordered pairs (e.g. {(1,1),(2,4),(3,9),…}{(1,1),(2,4),(3,9),…}, or any other way of showing how the output relates to the input. The function doesn't have to use numbers, either - a function could take two words and return their letters interlaced (so f(cat,dog)= cdaotg) or it could tell you what day of the week a given date falls on, or the post code/zip code of a given geographical location.
[In very formal terms, a function is a set of input-output pairs that follows a few particular rules.]

Equation

y=x

An equation is a declaration that two things are equal to each other. For example, 2^2=4 is an equation stating that the square of 2 is 4. An equation may include variables of unknown value, and it may be true for all, some or none of the possible values of those variables. For example,x^2=4 is an equation that is true when x=±2x, and false for other values of xx, while x^2=-4 is an equation that is false for all real values of x.
What may be confusing you is that we often use equations to declare a relationship between two variables, often in the form of a function or formula. For example, y=x^2 is an equation stating that the value of y is determined by the value of x via the function x^2.

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