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In this lesson, we will learn how to graph periodic functions and how to use key terminology, including frequency, period, amplitude.

Q1:

What is the period of the function π ( π₯ ) = 5 ( 4 π₯ + 6 ) + 1 0 s i n ?

Q2:

What is the midline of π¦ = π π ( π₯ β β ) + π s i n ?

Q3:

What is the frequency of the function π ( π‘ ) = π ( π π‘ β π ) + π c o s ?

Q4:

What is the frequency of the function π ( π‘ ) = 5 ( 4 π‘ + 6 ) + 1 0 s i n ?

Q5:

What is the frequency of the function π ( π‘ ) = π ( π ( π‘ β β ) ) + π s i n ?

Q6:

What is the frequency of the function π ( π‘ ) = π‘ s i n ?

Q7:

What is the midline of π ( π₯ ) = π ( π π₯ β π ) + π c o s ?

Q8:

What is the period of the function π ( π₯ ) = π ( π ( π₯ β β ) ) + π s i n ?

Q9:

What is the minimum value of the function π ( π₯ ) = π ( π π₯ β π ) + π c o s ?

Q10:

Which of the following relates the frequency π and the period π of a trigonometric function?

Q11:

What is the midline of π¦ = 5 4 ο» π π₯ 7 β 5 ο + 1 2 c o s ?

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