For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Compare the equations and graphs of the two cosine functions shown below. Part A: What is the period of f(x) and g(x)? Select your answer from the choices a, b, c, or d below. a. The period of f(x) is 4π radians, and the period of g(x) is 2π radians. b. The period of f(x) is 2π radians, and the period of g(x) is 4π radians. c. The period of f(x) is π radians, and the period of g(x) is 2π radians. d. The period of f(x) is 2π radians, and the period of g(x) is π radians. Part B: What is the relationship between the frequencies of f(x) and g(x)? Part C: What effect does doubling the angle x have on the period of the graph of the cosine function? Explain.
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Compare the equations and graphs of the two cosine functions shown below. Part A: What is the period of f(x) and g(x)? Select your answer from the choices a, b, c, or d below. a. The period of f(x) is 4π radians, and the period of g(x) is 2π radians. b. The period of f(x) is 2π radians, and the period of g(x) is 4π radians. c. The period of f(x) is π radians, and the period of g(x) is 2π radians. d. The period of f(x) is 2π radians, and the period of g(x) is π radians. Part B: What is the relationship between the frequencies of f(x) and g(x)? Part C: What effect does doubling the angle x have on the period of the graph of the cosine function? Explain.
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Compare the equations and graphs of the two cosine functions shown below. Part A: What is the period of f(x) and g(x)? Select your answer from the choices a, b, c, or d below. a. The period of f(x) is 4π radians, and the period of g(x) is 2π radians. b. The period of f(x) is 2π radians, and the period of g(x) is 4π radians. c. The period of f(x) is π radians, and the period of g(x) is 2π radians. d. The period of f(x) is 2π radians, and the period of g(x) is π radians. Part B: What is the relationship between the frequencies of f(x) and g(x)? Part C: What effect does doubling the angle x have on the period of the graph of the cosine function? Explain.
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Compare the equations and graphs of the two cosine functions shown below.
Part A: What is the period of f(x) and g(x)? Select your answer from the choices a, b, c, or d below.
a. The period of f(x) is 4π radians, and the period of g(x) is 2π radians. b. The period of f(x) is 2π radians, and the period of g(x) is 4π radians. c. The period of f(x) is π radians, and the period of g(x) is 2π radians. d. The period of f(x) is 2π radians, and the period of g(x) is π radians.
Part B: What is the relationship between the frequencies of f(x) and g(x)?
Part C: What effect does doubling the angle x have on the period of the graph of the cosine function? Explain.
Transcribed Image Text:y
(0,1)
(4,1)
X
g(x) = cos
0.5
2
MA
2π
4π
570
-0.5
f(x) = cos x
-H
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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