he maximum height of the graph of sin 2x is ___________. It is at x =_________.
Question
he maximum height of the graph of sin 2x is __. It is at x =.
Solution 1
The maximum height of the graph of sin 2x is 1. This occurs at x = π/4 + nπ, where n is an integer.
Solution 2
The maximum height of the graph of sin 2x is 1. This is because the range of the sine function, no matter what the input, is always between -1 and 1.
The maximum value of sin 2x occurs at x = π/4 + nπ, where n is an integer. This is because the period of the function sin 2x is π, so it reaches its maximum value at π/4 and then every π units after that.
Similar Questions
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Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = sin(x), −𝜋 2 ≤ x ≤ 𝜋 2 absolute maximum value absolute minimum value local maximum value(s) local minimum value(s)
f(x) = sin 2x increasing and decreasing interval
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