Find the range of the following
(i) `f(x) = x^(2)` (ii) `f(x) = x`
(iii) `f(x) = x^(2) + 2` (iv) `f(x) = x^(3)`

Explanation

(i) `f(x) = x^(2)`
for f(x) to be defined, `-oo lt x lt oo`
i.e., Domain `= (-oo, oo) = R`
from graph of `y = x^(2)`
range `= [0, oo)`
(ii) f(x) = x ltbgt Domain = R
range = R
(iii) `f(x) = x^(2) + 2`
Domain = R
Range `= [2, oo)`
(iv) `f(x) = |x|`
Domain = R
Range `= (-oo, oo)`