*BRAIN TEASER*
2 answers:
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Given:
The parent function is:
The other function is:
To find:
The statement that describes a key feature of function g.
Solution:
We have,
Using these two functions, we get
Putting , we get
The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.
We know that as
and it will never intersect the line
. It means the horizontal asymptote of the function g is
Therefore, the correct option is A.