CBSE Class 12-science Answered
Check surjectivity. Plzz
![question image](https://images.topperlearning.com/topper/new-ate/topr_46345286474183171IMG20190706003813.jpeg)
Asked by prakriti12oct | 06 Jul, 2019, 00:40: AM
f(x) = x3
First we will check injectivity of the function.
If f(x1) = f(x2)
![begin mathsize 16px style straight x subscript 1 superscript 3 space equals straight x subscript 2 superscript 3
straight x subscript 1 equals straight x subscript 2 end style](https://images.topperlearning.com/topper/tinymce/cache/3632ed50493944af448d60f4780c0bfa.png)
Hence, function is injective.
Let us check for surjectivity.
f(x) = y = x3
then x = ![begin mathsize 16px style cube root of straight y end style](https://images.topperlearning.com/topper/tinymce/cache/97f57d546a591481f24bad0372545218.png)
![begin mathsize 16px style cube root of straight y end style](https://images.topperlearning.com/topper/tinymce/cache/97f57d546a591481f24bad0372545218.png)
Hence given function is injective and surjective.
Answered by Sneha shidid | 08 Jul, 2019, 16:51: PM
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