Please answer part g of the question

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 48E
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Please answer part g of the question

 

(4) In the given graph, the horizontal axis represents time, t. Use the graph to answer the
following:
(a) Construct a sinusoidal model y = f(t)
that matches the graph using a sine function.
(b) Use a cosine function to construct a sinusoidal model y = f(t)
that matches the graph.
(c) Estimate the value of yf(6) from the graph, and write it here.
(d) Calculate the value of y = f(6) using each of your two models. Write the two values
here.
(e) Do your two sinusoidal models produce the same value? Does the calculated value
appear to agree with the value you estimated from the given graph?
(f) Use your cosine model to approximate the height at t = -1.
(g) From part (f), is the value of your model y = f(-1) reasonable? Briefly explain how
you know.
Transcribed Image Text:(4) In the given graph, the horizontal axis represents time, t. Use the graph to answer the following: (a) Construct a sinusoidal model y = f(t) that matches the graph using a sine function. (b) Use a cosine function to construct a sinusoidal model y = f(t) that matches the graph. (c) Estimate the value of yf(6) from the graph, and write it here. (d) Calculate the value of y = f(6) using each of your two models. Write the two values here. (e) Do your two sinusoidal models produce the same value? Does the calculated value appear to agree with the value you estimated from the given graph? (f) Use your cosine model to approximate the height at t = -1. (g) From part (f), is the value of your model y = f(-1) reasonable? Briefly explain how you know.
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