Given the following function:
[tex]f(x)=-x+2cos\text{ }x[/tex]
We will graph the function over the following interval
[tex]0\leq x\leq2\pi[/tex]
The given function is the result of adding two functions
the first is the line y = -x
The second the trigonometric function y = 2cos (x)
the graph of the function will be as follows:
From the graph, we can find the following:
The y-intercept = (0, 2)
The x-intercept = (1.03, 0)
The local minimum = (7π/6, -5.397)
