Solutions
Solutions to Try Its
1. y-intercept ; x-intercepts , and 2. The graph has a zero of –5 with multiplicity 1, a zero of –1 with multiplicity 2, and a zero of 3 with even multiplicity. 3.
Solutions to Odd-Numbered Exercises
1. The x-intercept is where the graph of the function crosses the x-axis, and the zero of the function is the input value for which . 3. If we evaluate the function at a and at b and the sign of the function value changes, then we know a zero exists between a and b. 5. There will be a factor raised to an even power. 7. 9. 11. 13. 15. 17. 19. 21. 23. 25. and . Sign change confirms. 27. and . Sign change confirms. 29. and . Sign change confirms. 31. 0 with multiplicity 2, with multiplicity 5, 4 with multiplicity 2 33. 0 with multiplicity 2, –2 with multiplicity 2 35. 37. 39. with multiplicity 2, 0 with multiplicity 3 41. 43. x-intercepts, with multiplicity 2, with multiplicity 1, y-intercept . As , , as , .
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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..