The following are questions concerning whether or not a given number is an upper bound or lower bound for the given equation. There are 5 questions concerning the upper bound and 5 questions concerning the lower bound as specified. A pencil, piece of paper, and a calculator is recommended.
1. Is 3 an upper bound of the equation y = 2x³ - 4x² + x - 2 ?
2. Is 4 and upper bound for the zeroes of the equation y = -x³ + 2x² + 3x + 1 ?
3. Is 2 an upper bound for the equation y = x^4 - x³ + x² +x - 12 ?
4. Is 1 an upper bound for the equation y = 2x³ - x² + x - 5 ?
5. Is 2 an upper bound for the equation y = -2x³ + 5x² + 5x + 1 ?
6. Is -1 a lower bound for the equation y = x² - 5x - 3 ?
7. Is -2 a lower bound for the equation y = -2x² - 3x = 2 ?
8. Is -3 a lower bound for the equation y = -x³ - 2x² - 2x - 5 ?
9. Is -1 a lower bound for the equation y = 3x³ - x² - 5x - 3 ?
10. Is -5 a lower bound for the equation y = -x³ - 4x² - 7x + 2 ?
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