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Will give brainliest! What is the equation for the midline for the function f(x) = 2 + cos x ?

Respuesta :

frika

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

A midline of a cosine function is the horizontal center line about which the function oscillates above and below.

Given the function

[tex]f(x)=2+\cos x[/tex]

The function [tex]y=\cos x[/tex] has the range [tex]y\in [-1,1][/tex] and, therefore a midline with equation [tex]y=0.[/tex]

The graph of the function [tex]f(x)[/tex] can be obtained by translation the graph of the function [tex]y=\cos x[/tex] wo units up. Hence, the midline will be translated 2 units up too and its equation will be

[tex]y=2[/tex]

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