Which function is shown on the graph?
f(x)= 1/2sinx
f(x)= −1/2sinx
f(x)= 1/2cosx
f(x)= −1/2cosx
What is the frequency of the sinusoidal graph?
Which equation represents the function on the graph?
f(x)= cos2x
f(x)= sin2x
f(x)= cos1/2x
f(x)= sin1/2x
First one
The graph is (1/2) as high s the normal sine graph and is also reflected about the x axis
So.....the correct equation is f(x) = (-1/2)sin x
Second one
The period is pi
The frequency = 1 /period = 1 / pi
Last one
This is the sine graph with a period compressed by a factor of 2
So
f(x) = sin (2x)