Answer:
See explanation
Step-by-step explanation:
Question "For what values of x is f(x) > 0" means that you should determine the values of x for which corresponding value of f(x) is greater than 0.
The graph of the given function is placed above the x-axis and below the x-axis.
Points at which the graph intersects the x-axis are x-intercepts (or zeros of the function). For these values of x, f(x)=0.
f(x)>0 when the graph is above the x-axis (all corresponding values of y or f(x) are positive).
The diagram shows that the graph of f(x) is above the x-axis for all
[tex]x\in \left[0,\dfrac{\pi}{2}\right)\cup \left(\dfrac{3\pi}{2},\dfrac{5\pi}{2}\right)\cup \left(\dfrac{7\pi}{2},4\pi\right][/tex]
At [tex]x=0,\ 2\pi,\ 4\pi[/tex] the function f(x) gains it maximum value of 4.
