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(WILL DO BRAINLIST)
The rod on a pump rises and falls as the pump operates. The following function gives the height of the top of the rod above the pumping unit in feet, L(t), as a function of time in seconds, t, after the pump is activated.


What is the range of the given function?

A. 1 ft, 3/2 ft
B. 0 ft, 3/2 ft
C. 0 ft, 3 ft
D. 1 ft, 3 ft

WILL DO BRAINLISTThe rod on a pump rises and falls as the pump operates The following function gives the height of the top of the rod above the pumping unit in class=

Respuesta :

frika
You have a function [tex]y= \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)[/tex].
Since the range of the function [tex]y=\sin x[/tex] is [tex][-1,1][/tex] you have that

[tex]-1\le \sin \left(\dfrac{2t+1}{2}\cdot \pi\right)\le 1 \\ 0\le 1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \le 2 \\ 0\le \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)\le 3[/tex].
Answer: The range of given function is [0,3] and the correct choice is C.
jaylamedia00

Answer: c

Step-by-step explanation:

got it right

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