Sections, concepts, and problems

Section 1. What is a function? Definition, notation, domain, range, etc.
2, 4, 7, 10, 12, 15, 17, 23, 25, 33, 39

Section 2. Graphs of functions. Vertical line test, positive/negative graphs, increasing/decreasing graphs, concave up/down graphs, extrema, points of inflection, horizontal and vertical asymptotes.
4, 8, 10a-d, 11a, 23, 24, 28, 31, 35, 37

Section 3. Linear functions. Definition, slopes, proportions, equations for lines, parallel and perpendicular lines.
1, 5, 10, 13, 16, 20, 22, 27, 29, 31, 32, 34, 35, 45

Section 4. A basic library of functions. Algebraic, transcendental, and piecewise functions.
2, 9, 12, 16, 18, 24, 27, 32, 46, 49, 51ab

Section 5. Combinations of functions. Sums, differences, products, quotients, and compositions of functions.
6, 11, 22, 29, 30, 35, 38, 41a, 59, 67, 72, 90

Section 6. Transformations and symmetry. Translations, contractions, stretches, and reflections of functions; even and odd functions and what they have to do with symmetry.
1-3, 6, 7, 14, 31, 33, 36-41, 51, 52, 68, 74, 79

Section 7. Inverse functions. One-to-one functions, inverse functions, their properties and how to find them.
6, 7, 8, 10, 11, 17, 27, 28, 36, 37, 41, 42

Other Chapters

Chap 0 | Chap 1 | Chap 2 | Chap 3 | Chap 4 | Chap 5 | Chap 6