Consider the function . The domain of this function is all real numbers except . Write the range of this function in interval notation, _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine the range of a rational function. The domain is restricted by the denominator, and the range must be determined by analyzing the behavior of the function as approaches the excluded value and as approaches positive and negative infinity.
Key Concept Explanation
For a rational function of the form , the domain is all real numbers except those that make the denominator zero. The range is all real numbers except the value that the function cannot attain, which is typically 0.
Step-by-step Solution
1. Identify the given function: .
2. Determine the domain: The domain is all real numbers except .
3. As approaches 15 from the left,
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