Question

define modulus function draw the graph and write it's domain and range

Answer 1

Modulus Function is the function in which the image of domain's any real number is the positive real counter part in the co domain...
It's Algebraically defined as
f(x) = |x| or
f(x) = { x , if x>=0 & -(x) , if x<0 }

Range(f) = Real No. (- <><>,+ <><>)
Domain(f) = Positive Real No. [0 , +<><>)

Answer 2

Answer : The graph of the modulus function, f(x) = |x| is attached below :

Modulus Function : A modulus function is a function which gives only positive output irrespective of the input.

Domain : The modulus function can take any value of x . So, its domain constitutes of all the real numbers.

⇒ Domain : (-∞ , ∞)

Range : For every real number whether positive or negative, it gives same positive real number but with a positive sign. So, its range is all positive real numbers.

⇒ Range : [ 0 , ∞ )