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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