Minimum and maximum

• November 28th 2009, 12:01 AM
kapital
Minimum and maximum
Calculate minimum and maximum and zeros fo function 3sinx.

Thanx, by.
• November 28th 2009, 12:15 AM
Stroodle
As the amplitude is 3 and there is no vertical translation or dilation parallel to the x-axis, the maximums would be at $\left (\frac{\pi}{2}\pm 2\pi n,\ 3\right )$ and the minimums would be at $\left (\frac{3\pi}{2}\pm 2\pi n,\ -3\right )$ (where $n$ is an integer).

As for the zeros, there would also be infinitely many, since there is no domain specified.

If the domain were $\left [0,2\pi \right]$ (i.e. one cycle of this particular function) the zeros would be at $0, \pi$ and $2\pi$

There's a good guide to basic trig graphs and functions here: http://www.purplemath.com/modules/triggrph.htm
• November 28th 2009, 01:28 AM