Question

what type of function is f(x)=x

Answer 1

x is a fixed point of f

Answer 2

It is a linear function with slope 1 and y intercept 0

Answer 3

It is a one - to - one function

Answer 4

@KKJ You don't know what f(x) is, could be a quadratic for instance.

Answer 5

no
If it is a quadratic, then f(x) = ax^2 + bx + c where a can not be zero.

Answer 6

f(x) just means "a function of x"

Answer 7

sure

Answer 8

so f(x) is usually denoted by y
Thus, y = x

Answer 9

linear or quadratic, whatever.

As you go higher in math, you stop using y and start using f(x) in order to treat f(x) as an entity in its own right

Answer 10

A linear function is of the form f(x) = y = mx + c

Answer 11

f(x) = x implies f(x) = 1x + 0

Answer 12

That's fine you may specify that f(x) = y and that f(x) is a linear function if you wish.

If it is not so specified then it is just f(x), nothing more.

Answer 13

thanks Just wanted to know what its called. just like a unit function or step function

Answer 14

I want to be able to just write something like:

x,f(x) ,f(f(x)), f(f(f(x)))...

Answer 15

f(x) = x is a linear function

Answer 16

"thanks Just wanted to know what its called. just like a unit function or step function"

It might also depend on the context, where has this come up?

Answer 17

"f(x) = x is a linear function"

proof by repetition lol

Answer 18

Whenever f(x) = mx + c where m is not equal not zero then it's linear

Answer 19

Now you are specifying again, which is OK....

Answer 20

solving some lapalce problems and it's puzzling to me as to what u call that sort of function

Answer 21

OK, connectivity problems....

f(x) might mean y, then again it might not, depends.

I don't really know too much about Laplace transforms but if this is related to applications say in physics or engineering, then it probably just means "y".

In fixed point mathematics it is usual to say f(x) = x in the sense that the function evaluated at x is mapped to itself by the fixed point equation (but this seems not the case here)

Answer 22

it's a unit function

Answer 23

it's not a step function