Bijective Function
Trending Questions
Q. Let f:[0, √3]→[0, π3+loge2] defined by f(x)=loge√x2+1+tan−1x then f(x)is
- One – one and onto
- One – one but not onto
- Onto but not one – one
- Neither one – one nor onto
Q.
f:R→R, f(x)=x|x| is
one-one but not onto
onto but not one-one
Both one-one and onto
neither one-one nor onto
Q. If N→N is defined by f(n)=n−(−1)n , then
- f is one-one but not onto
- f is both one-one and onto
- f is neither one-one nor onto
- f is onto but not one-one
Q.
Let f:[0, √3]→[0, π3+loge2] defined f(x)=loge √x2+1+tan−1x then f(x) is
one – one and onto
one – one but not onto
onto but not one – one
neither one – one nor onto
Q. Given A=x, y, z, B=u, v, w, the function f:A→B defined by f(x)=u, f(y)=v, f(z)=w is
- Surjective
- Bijective
- Injective
- All of the above
Q.
f(x) = sin(x) defined on f: [−π2, π2] → [−1, 1] is -
One –One into
One –one onto
Many one into
Many one onto
Q. A function f from the set of natural numbers to integers defined by f(n)={n−12, where n is odd−n2, where n is even is
- One-one but not onto
- Onto but not one-one
- One-one and onto both
- Neither one-one nor onto
Q. Let f: R → R be function defined by f(x) = x3 + 4. Then fis
- Injective
- surjective
- bijective
- None of these
Q.
f(x) = ax (where a >1) defined on f: R →(0, ∞) is -
One –One into function
One –one onto function
Many one into function
Many one onto function
Q.
Given A={x, y, z, }B={u, v, w}, the function f:A→B defined by f(x)=u, f(y)=v, f(z)=w is
Surjective
bijective
all of the above
injective