Math 161 Calculus I

Reading Outlines

You should answer these questions as you read the text.

Sections 1.3-1.6

1. What's a function?
2. Give an example of something that sounds like it should be a function but isn't.
3. What is the domain of a function?
4. What is the range of a function?
5. Explain three different ways of describing functions.
6. Give an example of an even function. Explain why it is even using its graph and using the algebraic definition.
7. Do the same for an odd function.
8. Draw a graph with time on the x-axis (beginning when you got out of bed this morning), and distance from your bed on the y-axis.
9. What are the three major function families? Give several examples of functions in each family.
10. What does (f + g)(x) mean? Explain in words and using symbols.
11. What does (fog)(x) mean? Explain in words and using symbols.
12. What does it mean for two functions to be inverses? Explain in words, using symbols, and using the function machine picture.
13. Do all functions have inverses?
14. How do you know if a function is invertible (meaning it has an inverse)?
15. How can you look at the graphs of two functions and know they are inverses?