Question 3 of
Select the correct answer.
A meteorologist observed the temperature in Clarkton over a two-year period. The graph below shows the average monthly
temperature in Clarkton during this period.

The function describing this graph is a transformation of the parent cosine function, y = cos(z).
Which interval is closest to the range of the transformed function ?


Question 3 Of Select The Correct Answer A Meteorologist Observed The Temperature In Clarkton Over A Twoyear Period The Graph Below Shows The Average Monthly Tem class=

Sagot :

With respect to the parent function y = cos x, the interval closest to the range of the transformed function is ( 0,50). the correct option is D.

How to find the functions corresponding to each graph based on the period of a function?

Mathematically speaking, cosines are periodic functions, and period (T) is the distance in the horizontal axis such that f(t + T) = f(t). The period of the parent cosine function is 2π. The period in daughter functions may vary by means of the following form:

y = cos Ax     (1)

Where:

x - Independent variable

y - Dependent variable

A - Period width

From the graph, it is observed that with respect to the parent function y = cos x, the interval closest to the range of the transformed function is ( 0,50). the correct option is D.

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