Image is attached . Prove that the question is one one and onto .
Image is attached .
Prove that the question is one one and onto .
Drake , 11 Years ago
Grade 12
Differential Calculus> Image is attached . Prove that the questi...
1 Answers
Jitender Singh
Ans:
Purple line is the graph of the function.
Co-domain is all set of real numbers.
And you can see from the graph that the function cover almost all the real numbers. So range is equal to codomain. Thus, function is onto.
To verify One-one:
Vertical parallel line test:
Draw a line parallel to y-axis.
It touches the curve at only one point. So function is one-one not one-many.
Horizontalparallel line test:
Draw a line parallel to x-axis.
It touches the curve at only one point. So function is one-one not many-one.
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty
Approved Last Activity: 11 Years ago
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