SOLUTION: Which of the following is true based for the following periodic function. a) only a sine function can be used to model this curve b) f(45) = 0.5 c) The amplitude is 2 d) The

Algebra ->  Functions -> SOLUTION: Which of the following is true based for the following periodic function. a) only a sine function can be used to model this curve b) f(45) = 0.5 c) The amplitude is 2 d) The       Log On


   



Question 1182158: Which of the following is true based for the following periodic function.
a) only a sine function can be used to model this curve
b) f(45) = 0.5
c) The amplitude is 2
d) The period is 60
Graph: https://docs.google.com/document/d/1WvDRbA4pYipC9pLNNUzfvn46KWwN1aCmeV3zJjlbuQM/edit?usp=sharing

Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


a) FALSE! ANY graph like this can be represented by either a sine or cosine function, with an appropriate horizontal shift.

b) TRUE -- the value of the dependent variable is 0.5 when the value of the independent variable is 45

c) TRUE -- the maximum value is 2; the minimum value is -2; the center line is 0. The amplitude is the absolute value of the difference between the center line and either the maximum or minimum.

d) FALSE -- the graph shows a maximum and -30 and the next maximum at 60; the period is the difference, which is 90, not 60.