The range of the function f(x) = 4 sinx +5/12
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Range of the function f(x) = 4sin(x) + 5/12:
We know that:
- -1 ≤ sin(x) ≤ 1
multiply inequality by 4,
- -4 ≤ 4sin(x) ≤ 4
add 5/12 to the above inequality,
- -4 + 5/12 ≤ 4sin(x) + 5/12 ≤ 4 + 5/12
- -43/12 ≤ f(x) ≤ 53/12
=> Range of f(x) = [-43/12, 53/13]
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