algebra 2b - unit 4: exam

what is the period of the tangent function? https://assets.learnosity.com/organisations/625/bfff787e-cdcc-48d7-a1a9-96ce707e070d.png

2pi

what is the amplitude of the function? https://assets.learnosity.com/organisations/625/29247401-104e-4049-b850-14a58d8c1e4f.png

3

beginning in the middle of summer, the average temperature for a certain year in phoenix could approximately be modeled by the function f(x) = 26 cos⁡(0.0055πx) + 89, where x represents the number of days since the middle of the summer, and f(x) represents the average temperature in degrees fahrenheit. what was the lowest average temperature in phoenix that year (approximately)?

63

what happens when the function f(x) = cos⁡(x) is transformed by the rule g(x) = f(1/2x)?

XXX f(x) is stretched away from the x-axis by a factor of 2.

what is the rule that represents the function in the graph? https://assets.learnosity.com/organisations/625/d6b026cd-2e21-4d81-99ca-82a99a50f4b6.png

XXX y = 2 cos(2x)

which rule represents the graph of the function? https://assets.learnosity.com/organisations/625/0e8e9be8-54ec-402d-891d-6ac80c2764e1.png

f(x) = 1/2 sin(2x) - 2

a certain cosine function has an amplitude of 5. which function rule could model this situation?

f(x) = 5 cos(x) + 3

the graph shows f(x) = −4 cos⁡(x) and the transformation g(x). 1. what is the transformation rule that makes f(x) become g(x)? 2. hat is the function rule of g(x)?

g(x) = 1/2 f(x) g(x) = -2 cos(x)

examine the graph of the function f(x) = 4 sin(4x). which is the graph of f(x) and the translation g(x) = f(2x)?

https://assets.learnosity.com/organisations/625/2347c13e-5c4f-4799-b850-c5784949988b.png

examine the graph of the function f(x) = 3 sin(1/2x). which is the graph of f(x) and the translation g(x) = f(x + 1)?

https://assets.learnosity.com/organisations/625/5d5f23bb-90bc-437f-a7f5-9a90aa6fbc26.png

examine the graph of the function f(x) = 5 sin(x). which is the graph of f(x) and the translation g(x) = 1/5 f(x)?

https://assets.learnosity.com/organisations/625/8499ef3b-ea42-40b8-b9bf-41e035373d81.png

examine the graph of the function f(x) = 2 sin(x). which is the graph of f(x) and the translation g(x) = f(x − π/2)?

https://assets.learnosity.com/organisations/625/bf97a443-c0f8-4558-9922-55367755d444.png

examine the graph of the function f(x) = 4 cos(x). which is the graph of f(x) and the translation g(x) = f(x) - 4?

https://assets.learnosity.com/organisations/625/f6d872e3-bb46-404d-8184-f885bd38eeaf.png

examine the graph. https://assets.learnosity.com/organisations/625/bb8db012-c46a-4bd6-985d-d452232d07a7.png what is the period of the function?

pi

examine the graph. https://assets.learnosity.com/organisations/625/81200e1d-59c2-4000-a798-4cb770c08efd.png what are the period and frequency of the function?

the period is 2pi/5 the frequency is 5

what is the midline of the function? https://assets.learnosity.com/organisations/625/1b3f30ba-252d-4b93-822f-c20fa99e1a90.png

y = -3

which equation represents the function in the graph?

y = tan(1/2x)