IIT JEE , AIEEE Forum - Mathematics , Algebra - what are funstions? i don't want bookish definition ihave also got book but still i m not

karthik2007

A function is basically a machine that churns the output according to what is fed into it.

for example, the function f(x) = 4x+5, gives the output 5 when x = 0. 9 when x = 1, and so on. The "machine" here is f(x), ie, 4x+5 in our case, and the input is x.

A function like f(x) = 2 gives the same output for whatever value of x you plug in, as the function is independent of x, ie, there is no x term there. If you are confused, write it like f(x) = 2 + 0.x, and then plug in the values for x.

You can have functions with more than one variable as well.

remember, here x is called by the name independent variable, and y which is f(x), is the dependent variable, as you can plug in any value of x that you want, but the value of y, ie, the output that you get depends on what value of x you plug in.

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