What is the range of y = -3sin(x) – 4? all real numbers all real numbers all real numbers all real numbers?

Question

What is the range of y = -3sin(x) – 4? all real numbers all real numbers all real numbers all real numbers?

in progress 0
2022-04-19T07:30:55+00:00 2 Answers 0

Answers ( 2 )

  1. Jasmine127
    0
    2022-04-19T07:32:03+00:00

    Answer:

    Step-by-step explanation:

    Given is a function

    [tex]y=-3sinx-4[/tex]

    We know that sinx lies between -1 and 1 for any value of x

    Keep that in mind and substitute maximum 1 to get

    y =-3(1)-4 =-7

    SUbstitute min -1 to get

    y=-3(-1)-4 = -1

    Thus range lies between -7 and -1

    Range of the given function

    = [-7,-1]

    Closed interval including end points.

  2. Jasmine127
    0
    2022-04-19T07:32:34+00:00

    Minimumvalue of sin x is -1.
    For sin =-1, y =-3*(-1)-4=-1

    Maximum value of sin x is 1.
    For sin =1, y =-3*(1)-4=-7

    So range of this function = [-7,-1], or it can be written as -7u2264xu2264-1

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