ANSWER
See attachment
EXPLANATION
We know how to graph
[tex]f(x) = \cos(x) [/tex]
The given function
[tex]f(x) = \cos(2x) + 1[/tex]
is obtained by transforming the graph of
[tex]f(x) = \cos(x)[/tex]
The period is π.
Hence we graph cos(x) such that it completes one cycle after every π units and then shift this graph up by 1 unit to obtain
[tex]f(x) = \cos(2x) + 1[/tex]
The amplitude is 1.
Hence it's range is
0≤y≤2
See attachment.
