Question

Its a graph question which I dont understand how to graph.

Answer 1

First, transform the two angles from degrees into radians.

`\begin{gathered} -345\text{degre}e\to x \\ -360\text{degre}e\to-2\pi \\ \Rightarrow-(2\pi)/(-360)=(x)/(-345) \\ \Rightarrow x=-(23)/(12)\pi \\ \text{and} \\ 0\text{degre}e=0\text{radians} \end{gathered}`

Therefore, we need to graph y=2cos(x) for x in (-23pi/12,0).

Start with a cosine function in the interval defined below.

Then, we need to perform a dilation of coefficient of dilation equal to 2 on the graph above. This is,

The answer is this last graph. Graph it from the blue line to the orange line, which is the required interval.

y-intercept: (0,2), which is a local maximum in the interval

Local minimum in the interval: (-pi,-2)

x-intercepts:(-pi/2,0) and (-3pi/2,0)