Solutions
Solutions to Try Its
1. \frac{$2.84-$2.31}{5\text{ years}}=\frac{$0.53}{5\text{ years}}=$0.106 per year. 2. 3. 4. The local maximum appears to occur at , and the local minimum occurs at . The function is increasing on and decreasing on .![Graph of a polynomial with a local maximum at (-1, 28) and local minimum at (5, -80).](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25200741/CNX_Precalc_Figure_01_03_0102.jpg)
Solution to Odd-Numbered Exercises
1. Yes, the average rate of change of all linear functions is constant. 3. The absolute maximum and minimum relate to the entire graph, whereas the local extrema relate only to a specific region around an open interval. 5. 7. 3 9. 11. 13. 15. 17. 19. increasing on , decreasing on 21. increasing on , decreasing on 23. local maximum: , local minimum: 25. absolute maximum at approximately , absolute minimum at approximately 27. a. –3000; b. –1250 29. –4 31. 27 33. –0.167 35. Local minimum at , decreasing on , increasing on 37. Local minimum at , decreasing on , increasing on 39. Local maximum at , local minima at and , decreasing on and , increasing on and 41. A) a relative (local) maximum of the function 43. 45. 2.7 gallons per minute 47. approximately –0.6 milligrams per dayLicenses & Attributions
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- Precalculus. Provided by: OpenStax Authored by: Jay Abramson, et al.. Located at: https://openstax.org/books/precalculus/pages/1-introduction-to-functions. License: CC BY: Attribution. License terms: Download For Free at : http://cnx.org/contents/fd53eae1-fa23-47c7-bb1b-972349835c3c@5.175..