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Sagot :
The sin function wiggles between -1 and +1 .
When the sin is -1, y = -0.3 - 0.1 = -0.4
When the sin is +1, y = +0.3 - 0.1 = +0.2
So the total range of 'y' is -0.4 < y < +0.2 .
Answer:
Range is from -0.4 till 0.2, inclusive
Step-by-step explanation:
y = 0.3sin (30x + 1.5) - 0.1
-1 < sin(x) < 1
-1 < sin(30x + 1.5) < 1
Because this is a change in domain, not in range
-0.3 < 0.3sin(30x + 1.5) < 0.3
-0.3-0.1 < 0.3sin(30x + 1.5) - 0.1 < 0.3-0.1
-0.4 < 0.3sin(30x + 1.5) - 0.1 < 0.2
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