A company’s board of directors took a random sample of 10% of the company’s employees and surveyed them about their happiness at
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As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have
As for the range, we have:
- The range of
are all real numbers
- If we change to
we're translating the function horizontally, so the range remains the same
- If we change to
we're stretching the function horizontally, so the range doesn't change
- If we change to
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.