Question

Analyze the function f(x) = sec 2x. Include:
- Domain and range
- Period and Amplitude
- Two Vertical Asymptotes

Answer 1

Domain- What x's are you allowed to put in
Range - What y-vaules can the function spit out

Answer 2

We are allowed to put in any x value

Answer 3

so for domain & function what would i put?

Answer 4

Domian- Any value of x... All real numbers

Answer 5

there will be no amplitude since there is no maximum value of y so amplitude= none, period = 2*pi/2=pi

Answer 6

oh wait the range is acutally all realls as well

Answer 7

domain = any value of x

Answer 8

vertical asymptote are x= pi/2, -pi/2

Answer 9

omg thanks so much :) but range will be all real #s?

Answer 10

@eyust707

Answer 11

yea

Answer 12

here is the graph
http://www.wolframalpha.com/input/?i=f%28x%29+%3D+sec+2x

Answer 13

thanks sweetie :)

Answer 14

as you can see there are y values from -infinity to infinity

Answer 15

yea it's correct range is all real numbers

Answer 16

I still don't understand exactly how to find the period can you please help break it down.