What is the domain, range, and period of the function Y=0.10sin(880~x) *(~ is pie)
2007-06-12 13:05:27 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
It's spelled "pi".
The domain of a function is all the inputs you can give it that will produce a meaningful answer. You can input any number from -infinity to +infinity for x in that equation, so its domain is (-infinity,+infinity).
The range of a function is all the outputs the function can give. The sine function oscillates from -1 to +1, but in this case, it's multiplied by 0.1, so it only oscillates from -0.1 to +0.1. Hence the range is [-0.1,0.1].
The period of a sinusoidal function like this is how far along the x axis you must go until the function repeats itself. Since the basic sine function repeats itself every 2*pi units, your function repeats itself every
2*pi / (880*pi)
= 1/440
= 0.0227273 units
Thus the period of the function is 0.0227273.
2007-06-12 13:14:50 · answer #1 · answered by lithiumdeuteride 7 · 0⤊ 0⤋
The domain of any sine function is all real x, unless its been restricted. So for this one, all real x.
The range is [-0.10,0.10] ie all values between -0.1 and 0.1 inclusive.
The period is 2pi/coefficient of x.
In this case 2pi/880pi = 1/440.
Are you sure it was 880pix?
2007-06-12 13:13:00 · answer #2 · answered by Anonymous · 0⤊ 0⤋
http://www.mathworld.wolfram.com
2007-06-12 13:08:31 · answer #3 · answered by Anonymous · 0⤊ 0⤋