explain real valued function and real function with an example.
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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…
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…
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