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Mathematics

1 answer:

julia-pushkina [17]2 years ago

6 0

With respect to the parent function y = cos x, we have these function according to the order of the graphs:

cos x
cos (1/2)x
cos 4x
cos 2x
cos (1/4)x

<h3>How to find the functions corresponding to each graph based on the period of a function</h3>

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. 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

Please notice that daughter functions report periods longer than in the parent function for 0 < A < 1 and a shorter one for A > 1. In consequence, these functions appear in the following order: