Hey, im got having trouble drawing the graph for this function:
Consider the function f(x)=3cos to the power of -1(2x)
(i) state the domain and range
D = -.5 - x - .5
R = 0 - y - 3pi
Sketch the graph, showing all important features
)
Now consider
So the domain of
)
:
The range of
is
ie
therefore the range of
is
(as it seams you found)
The following image is taken from wikipedia, the blue line shows the general graph of
So to graph
we start at the extreme value of the domain (ie the x-intercept) which is
.
The y intercept occurs half way inbetween the maximum range, ie
And of course when
So just draw the graph based on this information. It will look pretty much like the blue graph above just with different y/x intercepts.
You could also just simply draw
)
and visually flip it through
just to get an idea. But for some this is hard and also not an acceptable solution in an exam, merely just a method to get a general understanding of the graph =)
