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