Consider the function defined by .

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Consider the function

f:\mathbb{R}\to\mathbb{R}

defined by

f(x)=x^{2}-4

. (i) Define the domain and range of a real-valued function. (ii) Determine the domain and the range of

f

. (iii) Calculate

f(5)

and interpret the result in terms of the image of an element under a function.