anonymous
  • anonymous
What is the domain and range of this function? y=-4((pi/4)x)-3
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Domain: (-inf,inf) Range: [-7,1]
anonymous
  • anonymous
correct?
Mertsj
  • Mertsj
\[y=-4((\frac{\pi}{4}x))-3\]

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anonymous
  • anonymous
yes, that is the correct function.
Mertsj
  • Mertsj
If the domain is all real numbers, with which I agree, why is the range limited?
Mertsj
  • Mertsj
That simplifies to -pi(x)-3
anonymous
  • anonymous
The range is limited because the amplitude is 4.
Mertsj
  • Mertsj
What are you talking about? pi is approximately 3.14 so the equation is y=-3.14x-3
Mertsj
  • Mertsj
A linear equation with slope -3.14 and y intercept -3
Mertsj
  • Mertsj
That's why I retyped the equation for verification. It made no sense to write it that way.
anonymous
  • anonymous
Oh, i wrote down the wrong equation. My mistake.
anonymous
  • anonymous
y=−4cos((π4x))−3
anonymous
  • anonymous
Thanks for helping me catch that. Now will you agree that the range is correct and that the amplitude is 4?
Mertsj
  • Mertsj
The amplitude is 4. The range is -7 to 1
anonymous
  • anonymous
Thanks

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