Joni Kenny
2021-09-07
Whether each of these functions is a bijection from R to R.
a)
b)
c)
Ayesha Gomez
Skilled2021-09-08Added 104 answers
Part a-
is a bijection.
It is one-to-one as
It is onto as
Part b-
.
The function is not a bijection as a result.
Part c-
No real number exists that is such that . Hence the function is not a bijection.
Part d-
is a bijection.
It is a strictly increasing function.
Result:
Part a - Yes
Part b - NO
Part c - No
Part d - Yes
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