Two functions whose graphs are translations of the graph of the given function, such that the first function should have a domain of
It has been determined that the first function is
Given:
The function,
Concept used:
For real valued functions, the quantity under a square root and unless specified otherwise, the square root quantity must both be positive.
Calculation:
The given function is
Then, it must follow that
Now, it is given that the first function should have a domain of
That is, the first function should only be defined when
Now, the domain is
Similarly, the domain is
So, the first function is
Now, it is given that the second function should have a range of
That is, for the second function, it must follow that
Now, the range is
Similarly, the range is
So, the second function is
Conclusion:
It has been determined that the first function is
Chapter 3 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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