Red: The textbook
Green: The e-doc’s
Black: Recommended problems.
You must be able to do the following:
I. Exponential & Logarithmic Functions
1. Graph the basic exponential functions for the case y=ax, for the case
a> 1, such as in::
a. Examples (3) to (13): page: 29-34
b. Examples in e-doc –Review 02: Parts I – IV
c. Problems 0.7 page: 34-35: all odd numbered 17-79
2. Solve quadratic equations, as in:
a. Examples (1) to (8): page: 37-42
b. Examples in e- doc–Review 02: Part V
c. Problems 0.8 page: 42-43: all odd numbered 1-75
3. Solve linear inequalities, as in:
a. Examples (1) to (4): page: 56-57
b. Examples in e- doc–Review 03: Part I
c. Problems 1.2 page: 58: all odd numbered 1-31
4. Solve linear equations & inequalities involving absolute values, as in:
a. Examples (1) to (4): page: 62-64
b. Examples in e- doc–Review 03: Part II
c. Problems 1.4 page: 64: all odd numbered 15-35
5. Evaluate sums, as in
a. Examples (1) to (3): page: 66-68
b. Examples in e-doc–Review 04: Part II
c. Problems 1.5 page: 64: all odd numbered 1-21
II. Functions
1. Determine the domain and the value, if exists, of a function at a point:
a1. Examples (2), (3), page: 78-79
a2. Examples (1) to (5), page: 82-84
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b. Examples in e- doc–Functions-01: All examples
c. Problems 2.1 page: 81: all odd numbered 5-27
2. Graph a basic algebraic function (only the squaring, the cubing, the
root and the inverting functions) or a case-defined function and determine
its domain, range and values at a point, as in:
a1. Examples (1) to (5) and example (7): page: 96-99
a2 Graphs: page 108
a3. Examples (1) to (2), page: 109-110
b. As in the e-doc Functions-04
c. Problems 2.1 page: 81: all odd numbered 5-27
3. Graph straight lines from the equation, as in the examples 1 to 4 on the
slides 2 to 5 of the e-doc Functions-03
4. Find the formula and the domain of the sum, the difference, the
product, the quotient and the composite of functions and the inverse of a
function as in:
a1. Examples (1): a to e. page 87
a2. Examples (2) & (3): a to e. page 89
b. As in e-doc Functios-02 n& Functios-05
c. Problems 2.3: Page: 90: All odd numbered problems from 1 to 10.
5. Graph the families of basic algebraic functions (only the families of the
squaring, the cubing, the root and the inverting functions) as in:
a. Examples: page 109-110
b. The e-doc in the folder Functions-06 (animations)
c. Problems 2.7: page 110: All problems from 1 to 11.
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