The Range of Functions PDF
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Uploaded by HappierZirconium
Ain Shams University
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Summary
This document presents a list of functions and asks to determine their range. The functions include various forms, such as linear, quadratic, rational, and square root functions. The problems are suitable for an undergraduate-level mathematics course.
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## The Range of Functions * Find the range of: 1. f(x) = 5 2. f(x) = 2x + 5 3. f(x) = x² - 2x - 8 4. f(x) = 9 - x² 5. f(x) = x² - 2 6. f(x) = 9 - (x - 2)² 7. f(x) = (x - 2)² - 3 8. f(x) = 8 / (x - 2) 9. f(x) = (x - 4) / (x - 2) 10. f(x) = x / (x² + 2) 11. f(x) = x² / (x² + 2) 12. f(x)...
## The Range of Functions * Find the range of: 1. f(x) = 5 2. f(x) = 2x + 5 3. f(x) = x² - 2x - 8 4. f(x) = 9 - x² 5. f(x) = x² - 2 6. f(x) = 9 - (x - 2)² 7. f(x) = (x - 2)² - 3 8. f(x) = 8 / (x - 2) 9. f(x) = (x - 4) / (x - 2) 10. f(x) = x / (x² + 2) 11. f(x) = x² / (x² + 2) 12. f(x) = √x + 2 - 4 13. f(x) = 9 - √4 - x 14. f(x) = √16 - x² 15. f(x) = √ - x² - 2x + 3 16. f(x) = √x² - 16
