CAT & GMAT: Quant concept - Functions
No CommentStarting with some quat inputs, let us discuss some basics- Functions
Here are some very very important points about functions. I am starting with basics now..
1) Functions will always be in a form of
y=f(x)
equation will always be in a form of
f(x)= 0
2) when y=f(x)
x= independant variable
y= dependant variable
3) What is Domain of a function?
Domain is a set of values for viz equation make sense.
e.g y=x^2
so D = x>0 (i.e. x should not be zero in order to validate the equation, else if x=0 then y=0 and indirectly equation will be zero)
4) What are even functions?
f(x)=f(-x) then function is said to be even function
Some important points about function–>
1)Sum, difference,product,quotient of an even function is even
2)Graph of even function wil be always symmetrical about “y-axis” when x is independane variable and y is dependant varibale.
When this condition changes, then graph wil be symmeterical about “x-axis”.
5) What are odd functions?
when f(x)= -f(-x) then function would called as od function
some important points for odd function –>
1) Sum & difference of odd function is odd.
2)product & quotient is even.
3)The graph of odd function is always symmetrical about “Origin”.
Regards
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