Key Concepts Sect 13.1
Periodic Function: A function that repeats a pattern of y­values at regular intervals.
Cycle: One complete pattern.
Period: The horizontal length of one period.
Amplitude: Half the difference between the maximum and minimum values of the function.
Guided Practice 13.1
Ex 1: Analyze this periodic function. Identify one cycle in two different ways. Determine the period of the function.
Guided Practice 13.1
Ex 2: Determine whether each function is or is not periodic. If it is, then find the period.
Ex 3: Find the amplitudes of the two functions below.
Ex 4: The oscilloscope screen below shows the graph of the alternating current electricity s, in volts, supplied to homes in the United States. Find the period and amplitude.
Right Triangle Review
450
600
x√2
2x
x
x
45
300
0
x√3
x
Ex 1: Find the missing side lengths in the given figures.
a.)
b.)
450
5
450
600
300
4
5
450
5
c.)
450
Homework
Sect 13.1:
p.713
1­25, 41, 43
Right Triangle Review: p.717
1­14