Question

f, g and h are three functions defined from R to R as follows:
(i) `f(x)=x^(2)` (ii) `g(x)=x^(2)+1` (iii) `h(x)=sinx`
Then, find the range of each function.

Answer 1

(i) Clearly, `f(x)=x^(2)ge0" for all "x""inR`.
(ii) `f(x)=x^(2)+1ge1" for all "x""inR`.
`sinx""in[-1,1]`.