State the amplitude of the following function:

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

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 º

To find the amplitude of the function f(x) = 5x sin(2x), we need to understand what amplitude represents in a sinusoidal function.

In a general sinusoidal function, like f(x) = A sin(Bx + C), A represents the amplitude of the function. The amplitude determines the maximum value the function can reach above or below the x-axis.

In the given function f(x) = 5x sin(2x), we can see that the coefficient in front of sin(2x) is 5x. However, the amplitude does not depend on this coefficient, but rather on the coefficient of sin(2x), which is 1.

Therefore, the amplitude of the function f(x) = 5x sin(2x) is 1.