MA111 Homework #1

The homework is due Friday, September 2, A.D. 2011 at the beginning of class.

Let f(x) = x3 -7 x-6.

1. Plot the graph of y=f(x) over an appropriate domain.

2. When does the graph of y=f(x) cross the x-axis? Show the equation to be solved as well as the solution.

3. Plot y=-f(x) and y=f(-x) over appropriate domains.

4. Where do the graphs of f(x) and -f(x) intersect? Show the equation to be solved as well as the solution.

5. Where do the graphs of f(x) and f(-x) intersect? Show the equation to be solved as well as the solution.

6. At what points is the y-coordinate of the graph of y=f(x) the same as the x-coordinate? Show the equation to be solved as well as the solution.

7. Print this homework out as a Maple worksheet. Print 2 pages per sheet. When the Print dialogue box appears, select Properties and go to the Layout tab. Go down to Pages per sheet, and select 2.

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