State the amplitude of the following function:

f(x)= 5 x sin(2x)

3 answers

If your equation is y = 5sin(2x) the amplitude is 5

If you actually mean y =5x(sin(2x)), the graph would be rising and would not have an actual amplitude.
it's the first one but do i just graph the function n look for it in my calculator or is there a mathematical way of finding it?
the general equation of a sine curve is

y = a(sin kx)

a is the amplitude and k determines the period so that period is 360/k ยบ