Question

A={-1,0,1}.show that f:A-A defined as f(x)=x^3-x^2+1 is a many one into function what should be the co domain so that f is an onto function​

Answer 1

Answer:

required codomain is {-1,1}

Step-by-step explanation:

Here

$f( - 1) = - 1 \: \: f(0) = 1 \: \: f(1) =1$

since 0 and 1 both map to 1 so f is many to one function.

Since the range of this function is {-1,1} so to make the function onto thr co domain should be {-1,1}