Section 1.1 Worksheet:

Read Section 1.1 by tomorrow.

Assigned problems: Exercises pp. 22-24, #2, 6, 8, 15, 17, 25, 46, 52, 58 (due Thursday).

1. Give the technical meaning of the word ``function'', and give an example of a function.

2. What are the four ways of representing a function?

3. What's the difference between dependent and independent variables?

4. Is is possible to draw the graph of a function that fails the vertical line test?

5. Do all functions either increase, decrease, or remain constant?

6. If asked to find the domain of a function given by an algebraic formula, what is your strategy?

7. How might you read aloud the expression

   

8. What major assumptions are made in drawing the curve of Example 4?

9. How would the solution method in Example 5 change if side material increased in cost to $7?

10. What methods can be used to test a function for symmetry?

11. Give a reasonable, practical example of a function defined piece-wise.