find range for g(X)= -cos4x
doesn't cosine go frm +1 to -1?
To find the range of the function g(x) = -cos(4x), we need to determine the set of all possible values that g(x) can take.
The range of a function represents the set of all output values it can produce. For a cosine function, the range is always [-1, 1] because the cosine of any angle falls within this interval.
Since g(x) is equal to -cos(4x), it means that it will have the same range as the function cos(4x), but with the signs reversed. Therefore, the range of g(x) will be the negative values of the range of cos(4x), which is [-1, 1].
So, the range for g(x) = -cos(4x) is (-1, 1].