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Many One Function - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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10 Questions around this concept.
Solve by difficulty
EASYWhich of the following function is a many-one function?
Which of the following is a many one function?
$
\text { The function } \mathrm{f}: \mathbf{N}-\{1\} \rightarrow \mathbf{N} \text {; defined by } \mathrm{f}(\mathrm{n})=\text { the highest prime factor of } \mathrm{n}, \text { is : }
$
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Identify the many-one function.
Which of the following is not a many-one function.
Concepts Covered - 1
Many-one Function, many one graphical check
A function $f: X \rightarrow Y$ is called a many one function, if two or more elements of set $X$ have the same image in set $Y$,
Or we can say that if $f: X \rightarrow Y$ is many- one if it is not one-one function.
To check it graphically a line parallel to $x$-axis cuts the curve at more than one point.
Both are many one, as in both there are two elements $x_2, x_3$ which corresponds to the same image $y_3$, i.e. $f\left(x_2\right)=f\left(x_3\right)=y_3$
Method to check many-one
Check whether the function is one-one or not. If the function is not one-one then it is a many-one function.
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