What is the range of $y = 1.5 sin x + 4$ $y=1.5sinx+4$ ?

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Answer 1 · 2018-03-08T01:03:34

2.5 to 5.5

$- 1 \leq sin x \leq 1$ $-1 <= sin x <= 1$

$- 1.5 \leq 1.5 sin x \leq 1.5$ $-1.5 <= 1.5 sin x <= 1.5$

$- 1.5 + 4 \leq 1.5 sin x + 4 \leq 1.5 + 4$ $-1.5 +4 <= 1.5 sin x +4 <= 1.5+4$

$2.5 \leq 1.5 sin x + 4 \leq 5.5$ $2.5 <= 1.5 sin x +4 <= 5.5$

What is the range of y=1.5sinx+4y=1.5sinx+4?