Section |
Topics |
Suggested Problems |
1.1 |
- What is a function
- domain, range
- ways to represent a function
- Vertical Line test
- odd or even functions
|
- 11, 16, 21
- 28, 29, 32
- 11, 16, 35, 37, 41, 43
- 5-8
- 64, 65, 66, 68
|
1.2 |
- Classifying functions
- Linear functions
- Polynomial functions
|
- 1, 2, 3, 4, 19, 20
- 5, 10, 11, 16
- 8, 9
|
1.3 |
- Translations, stretching, reflecting
- Composition of functions
|
- 1, 2, 4, 6, 7, 10, 11, 13, 14, 17, 18
- 31, 33, 34, 41, 42, 43, 45, 51
|
1.4 |
- Domain and range for plotting
|
- 3, 5, 6, 8, 9, 10, 11, 20, 21
|
1.5 |
- Exponent laws
- Exponential functions
- Base e
|
- 1, 3, 4, 5, 7, 8, 9, 17
- 13, 15, 16
|
1.6 |
- One-to-one functions
- Horizontal Line test
- Inverse of a function
- Domain and range of the inverse function
- Reflection across y = x
- Inverse trig functions
- Logarithmic functions, especially ln x
- Log laws
- Relationship between e^x and ln x
|
- 1, 9, 10, 11, 12
- 5-8
- 2, 15, 16, 18, 21, 22, 23, 35
- 53, 54
- 29, 30, 69, 70
- 59, 60, 61, 62
- 31
- 33, 34, 35, 37, 39
- 36, 47, 48
|
2.1 |
- Tangent line to a curve
- Approximating a slope with a secant line
- Average velocity
- Approximating instantaneous velocity
|
|
2.2 |
- Intuitive notion of limit
- Numerical behavior
- Graphical behavior
- Examples where the limit fails
- Left- and right-hand limits
- Infinite limits
- Vertical asymptotes
|
- 1
- 20
- 4, 5, 6, 9, 13, 15
- 4, 5, 6
- 2, 10
- 3, 34
- 25, 26, 29, 30
|
2.3 |
|
- 1, 11, 12, 13, 14, 17, 20, 21, 23, 25, 26, 39, 40, 46, 49
|
2.4 |
- Adjusting the tolerance on x to match a tolerance on f(x)
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