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Onto Function or Surjective - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Onto Function or Surjective is considered one the most difficult concept.
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7 Questions around this concept.
Solve by difficulty
Let A = {x1,x2,x3......,x7} and B = { y1 ,y2 ,y3 } be two sets containing seven and three distinct elements respectively. Then the total number of functions : A
B that are onto, if there exist exactly three elements x in A such that
(x) = y2, is equal to :
Concepts Covered - 1
Onto Function or Surjective
A function $f: X \rightarrow Y$ is said to be onto (or surjective), if every element of $Y$ is the image of some element of $X$ under $f$, i.e., for every $y \in Y$, there exists an element $x$ in $X$ such that $f(x)=y$
Hence, Range = co-domain for an onto function
Some examples of onto function
Consider, $X=\left\{x_1, x_2, x_3, x_4\right\}$ and $Y=\left\{y_1, y_2, y_3\right\} \mid$
$
f: X \rightarrow Y
$
As every element in Y has a pre-image in X, so it is an onto function
Method to show onto or surjective
Find the range of $y=f(x)$ and show that range of $f(x)=$ co-domain of $f(x)$
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