Question

explain real valued function and real function with an example.

Answer 1

In mathematics, a real-valued function is a function whose values are real numbers. In other words, it is a function that assigns a real number to each member of its domain.

Many important function spaces are defined to consist of real-valued functions.



real function is a function that returns values which are real numbers.

1. What is a function ?

You can see a function like a magical blender.

You put some stuff inside, and it outputs new things.

The input stuff can be of any kind, it could be a number, another function, or whatever you want! Same goes for the output.

For instance, a function can take

Integers (1,2,3…) for input and an integer as output: F : x → 2*x (For x =3, F(3) =2*3=6)Integer for input and a function as output :F:x→ x*sin (For x=3, F(3)=3*sin)

Etc…