Mathematics

Problem

Consider the function

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

defined by

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

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

f

. c. (iii) Calculate

f(5)

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