The multiplication by 3 increases the magnitude, and the + 3 shifts the graph upward to be "centred" at y = 3. The graph now oscillates between 6 and 0 (3 + 3, 3 - 3).
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sin x can have any value between -1 and 1; therefore, 3 sin x has three times this range (from -3 to 3).
If the domain is the set of real numbers, so is the range.
42
67 plus 3 equals 70.
Yes, -8 plus plus 3 equals -5. The "plus plus" is equivalent to a positive sign, so -8 plus (+3) equals -5.