Question

Graph the function f(x) = cos(2x) +1

Answer 1

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Answer 2

ANSWER

See attachment

EXPLANATION

We know how to graph

$f(x) = \cos(x)$

The given function

$f(x) = \cos(2x) + 1$

is obtained by transforming the graph of

$f(x) = \cos(x)$

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

$f(x) = \cos(2x) + 1$

The amplitude is 1.

Hence it's range is

0≤y≤2

See attachment.