katherinesmith
  • katherinesmith
describe the domain and range of f(x) = 2cos(x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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katherinesmith
  • katherinesmith
@tkhunny
tkhunny
  • tkhunny
Cosine, like sine, oscillates between 1 and -1. What does the 2 do?
katherinesmith
  • katherinesmith
i don't know :(

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tkhunny
  • tkhunny
If you are 1 and we multiply you by 2, what are you now?
katherinesmith
  • katherinesmith
2
tkhunny
  • tkhunny
This is all you need for a solution.
katherinesmith
  • katherinesmith
so the domain is all real numbers and the range is just 2?
tkhunny
  • tkhunny
No, what happened to -1? BTW, we talking about the Range. The Domain is All Real Numbers.
katherinesmith
  • katherinesmith
so (-1, 2) ?
tkhunny
  • tkhunny
Why didn't you multiply it by 2?
tkhunny
  • tkhunny
If it's just the sine or cosine, we have [-1,1] Multiply it by 2 and we have [-2,2] If it's just the sine or cosine, we have [-1,1] Subtract 5 and we have [-6,-4] You really should look at more of these graphs.
katherinesmith
  • katherinesmith
so you're saying the range is (-2, 2) ?
tkhunny
  • tkhunny
Is there a difference between parentheses and square brackets?
katherinesmith
  • katherinesmith
no?
tkhunny
  • tkhunny
There should be. (-2,2) means not quite -2 or 2, but everything between them. [-2,2] means everything between AND includes the two endpoints.
katherinesmith
  • katherinesmith
okay.
tkhunny
  • tkhunny
Well, there you have it.

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