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Mathematics 14 Online
OpenStudy (anonymous):

What is the domain and range of just 2tan(x)?

OpenStudy (anonymous):

Because tan x = sin x / cos x, and both sin x and cos x can equal zero, tan x would range from -infinity to infinity (all real numbers). The domain would be all real nummbers as well. :)

OpenStudy (anonymous):

Well what does the 2 do?? Does it effect the domain or range at all??

OpenStudy (anonymous):

No, 2 won't change the domain or range at all. This is because the range of tan x is -infinity to infinity. If instead of tan x you had say sin x, then the range would change from [-1, 1] to [-2, 2]

OpenStudy (anonymous):

Does that answer your question? :)

OpenStudy (anonymous):

Ohkkkk... Well what if it was negative persay?? Would that effect either? Thanks btws(:

OpenStudy (anonymous):

When you say negative, you mean a number like -2?

OpenStudy (anonymous):

No I just mean like -sin or -tan etc

OpenStudy (anonymous):

No, that wouldn't change the domain or range for any function. This is because all basic trigonometric functions are symmetric, so you'd just be flipping the graph around.|dw:1377151776590:dw| ^That's an extremely crude tan x graph. I'm terrible with this drawing thing. Google it. :P Anyways, the graph would just become the same thing, upside down if you were to muliply it with -1.

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