Composition of Functions
Chapter 6
1. Definition of Sine and Cosine. (p241)
Example: sec6.2: 5, 7.
2. Coordinates of a Point on a Circle of Radius r .(p243)
Example: sec6.2: 11, 12.
3. Definition of Radians. (p247)
4. Converting between Degrees and Radians
Example: sec6.3: 914
5. Arc Length (p249)
Example: sec6.3: 26, 27.
6. Sinusoidal Functions
For the sinusoidal functions
y = Asin(B(t − h)) + k
y = Acos(B(t − h)) + k
(a)  A is the amplitude.
(b) h is the horizontal shift.
(c) 2π /  B  is the period.
(d) y = k is the midline.
Example: sec 6.5: 9, 10.
Chapter 8
1. Composition: The function f (g(t)) is said to be a composition of f with g .
The function
f (g(t)) is defined by using the output of the function g as the input to f .
Composition of functions defined by formulas , graphs, tables
Example: sec8.1: 5, 21, 29.
2. Combinations of Functions
The difference of two functions The quotient of two functions
Example: sec8.3: 9, 19.
Chapter 9
1. Definition of Power Functions (p377).
Graphs of power functions y = x^{p} :
(a) Positive integer powers: p = 2,4,6,..., and p = 3,5,7,....
(b) Negative integer powers: p = −2,−4,−6,..., and p = −1,−3,−5,....
2. Definition of Polynomial Functions (p386).
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