Answer the following with reference to the two functions and

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Answer the following with reference to the two functions

f(x)=2x+1

and

g(x)=x^{2}

. (i) Define the terms (a) domain and (b) range of a function. (ii) State the domain and the range of

f

and of

g

. (iii) Explain, with reasons, why the range of

f

is unbounded whereas the range of

g

is bounded below but not above.