The graph can be described by the function f(x) = 3 cos(x) + 3.
What is a function?
'A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'
According to the given problem,
Period = 3
Amplitude = 3
We can see,
When x = 0
f(x) = 6
When x = [tex]\frac{\pi }{2}[/tex]
f(x) = 3
When x = [tex]\pi \\[/tex]
f(x) = 0
In accordance to the equation, f(x) = 3cos(x) + 3
⇒ f(x) = 3cos(0) + 3
⇒ f(x) = ( 3×1 ) + 3
⇒ f(x) = 3 + 3
⇒ f(x) = 6
Hence, we can conclude that the function f(x) = 3 cos(x) + 3 represents the given function.
Learn more about functions here: https://brainly.com/question/12431044
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