I don't think it is but I want to make sure.
2007-06-14 05:44:07 · 4 answers · asked by lsupergeorgel 1 in Science & Mathematics ➔ Mathematics
A sinusoidal function is a function that is like a sine function in the sense that the function can be produced by shifting, stretching or compressing the sine function.
Taking the absolute value of the function does not result in a shift, stretch, or compression of the graph of the sine function.
If you reflect over the x axis every point in the coordinate plane for which sin x is negative, then you have the graph of y=|sin x| .
No, y=|sin x| is not a sinusoidal function.
2007-06-14 06:01:25 · answer #1 · answered by mathjoe 3 · 0⤊ 0⤋
I believe sinusoidal functions are produced only by shifting, stretching, or compressing the original. Absolute value modifies the function in a way that is unlike any of those.
2007-06-14 12:50:45 · answer #2 · answered by gfulton57 4 · 0⤊ 0⤋
No ... it has abrupt points of discontinuity every pi rad (180 degrees).
However, y=|1 + sinx| is sinusoidal.
2007-06-14 12:49:51 · answer #3 · answered by Bruce O 3 · 0⤊ 0⤋
You have good instincts âº
No, it is not. It --is-- a periodic function (with period Ï), but it is not sinusoidal. If it were, then
f(Î) = -f(Î+Ï)
Also, if it were sinusoidal, it would have continuous derivatives of all orders at all points, but it has discontinuities at integer multiples of Ï.
Doug
2007-06-14 12:50:10 · answer #4 · answered by doug_donaghue 7 · 0⤊ 0⤋