Laura Ralston
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Math 1111
Project One
Laura Ralston
>
Math 1111
Project One
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Math 1111 Project One 50 points Consider the following relation: y = x3 – 3x + 2 1. Using a standard viewing rectangle, [-10, 10, 1] by [-10, 10, 1], graph the function on your calculator. Sketch it on the coordinate plane below. (3 points)
2. What is the y-intercept of the relation? Write the answer as an ordered pair (3 points)
3. Does the given relation represent a function? Answer YES or NO (3 points)
4. How do you know whether it is a function or not? (3 points)
If the given relation is a function, then answer the following questions. If it is NOT a function, omit the following questions. 5. What is the domain of the function? Write the answer in interval notation (4 points)
6. What is the range of the function? Write the answer in interval notation (4 points)
7. Observe the graph of the function. Does the function appear to be even, odd, or neither? (3 points)
8. Verify your answer to #7 algebraically (6 points)
9. Determine the intervals of the domain for which the function is increasing. Write the answer in interval notation. (6 points)
10. Determine the intervals of the domain for which the function is decreasing Write the answer in interval notation. (3 points)
11. Identify the relative minimum(s), if any exist. Write the answer as ordered pair. (3 points)
12. Identify the relative maximum(s), if any exist. Write the answer as ordered pair. (3 points)
13. Observe the graph of the function. Estimate the zeros (x-intercepts) of the function. (6 points)
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