A function 'f' from a set X to Y is called onto if very y ` in ` Y , `EE x in X ` such that f(x) =y . Unless the contrary is specified a real function is onto if it takes all real values ,Othervise ,it is called o into function , Thus , if X and Y are finite sets , then 'f' can not be onto if Y contains more elements then 'x'
Now answer the following
The polynomial function ` f(x) = a_0 x^(n) +a_1 x^(n-1) +a_2x^(n-2) +.......+a_n ` where ` a_0 ne 0 ` is onto for

Options

A. `0 lt x lt 2`
B. `0 lt c lt 4`
C. `(-1)/(2) lt c lt 1/2`
D. `0 lt c lt 1`

Answer

D