Question

sketch the graph y=sec4x

Answer 1

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Answer 2

@hba

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@samsam15
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Answer 3

http://www.wolframalpha.com/input/?i=y%3Dsec4x

Answer 4

You can write y=sec(4x) as y = 1/cos(4x)
It is now a reciprocal graph of y=cos(4x)
Where cos(4x) cuts the x-intercepts, there will be an asymptote, such as at x = pi/2
The graphs y=cos(4x) and y=1/cos(4x) will also intersect at the lines y = 1 or y=-1.
With this, you can generally plot the graph. Watch asymptotic behaviour