[" 8.Let "A={x in R:-1leqslant x leqslant1}=B" .Prove that,the mapping "],[" from "A" to "B" defined by "f(x)=sin pi x" is surjective."]

Let A={x in RR:-1 le x le 1} =B . Prove that , the mapping from A to B defined by f(x)= sin pi x is surjective.

Let RR be the set real numbers and A={x in RR: -1 le x le 1} =B Examine whether the function f from A into B defined by f(x)=x|x| is surjective, injective or bijective.

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

let A={x:-(pi)/(2) le x le (pi)/(2)} and B={x:-1 le x le 1} . Show that the function f: A rarr B defined by, f(x)= sin x for all x in A , is bijective . Hence, find a formula that defines f^(-1)

Show that f:R rarr R defined by f(x)=(x-1)(x-2)(x-3) is surjective but not injective.

Show that f: R rarr R defined by f(x) = (x-1) (x-2) (x-3) is surjective but not injective