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2 years ago

What is the range of the function y = 1 + 2sin(x − 3.14)?

Mathematics

2 answers:

Lera25 [3.4K]2 years ago

5 0

Answer:

[-1,3].

Step-by-step explanation:

The range of the function is the possible y-values that can be obtained. So, we know that the sin(x-3.14) always throws results between -1 and 1. That is

-1 ≤ sin(x-3.14) ≤ 1

and we have 1+2sin(x-3.14), then

1+2(-1) ≤ 1+2sin(x-3.14) ≤ 1+2(1)

1-2 ≤ 1+2sin(x-3.14) ≤ 1+2

-1 ≤ 1+2sin(x-3.14) ≤ 3.

Then, the range is [-1,3].

tankabanditka [31]2 years ago

3 0

Hello:
-1 ≤ sin(x- π ) ≤ 1
-2 ≤ 2 sin(x- π ) ≤2
1-2 ≤ 1+ 2 sin(x- π ) ≤ 1 +2
-1≤y≤3
the range is : <span>[-1 : 3 ]</span>

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