anonymous
  • anonymous
f(x)=sin(x)-5 graph in radian, describe domain and range
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@jim_thompson5910
anonymous
  • anonymous
@stacy.reed08
anonymous
  • anonymous
@bullkidd

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More answers

jim_thompson5910
  • jim_thompson5910
I recommend using a graphing calculator. If you don't have something like a TI83, then you can use a free graphing website like desmos https://www.desmos.com/calculator
anonymous
  • anonymous
i have one, i can graph them, i just really need help with the domain and range.
jim_thompson5910
  • jim_thompson5910
do you see how the graph extends infinitely in both directions in the horizontal (x axis) direction?
jim_thompson5910
  • jim_thompson5910
What that tells us is that the domain is the set of all real numbers. You can plug in any number you want for x and it's a valid input.
anonymous
  • anonymous
yes, it suppose to look wavy too right? since i graph it in radian?
jim_thompson5910
  • jim_thompson5910
yes it goes up and down
anonymous
  • anonymous
okay good. so the domain would just be all real numbers?
jim_thompson5910
  • jim_thompson5910
correct
jim_thompson5910
  • jim_thompson5910
how about the range?
anonymous
  • anonymous
samething?
jim_thompson5910
  • jim_thompson5910
you sure? every y value is a possible output?
anonymous
  • anonymous
wait, will it be (0,5) since that the only whole y number i got?
jim_thompson5910
  • jim_thompson5910
look at the lowest and highest points. What are the y coordinates of those points?
anonymous
  • anonymous
im lost at this point, the X values go on forever, how do i find the highest and lowests?
jim_thompson5910
  • jim_thompson5910
here is the sine curve |dw:1439769652243:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1439769685108:dw|
anonymous
  • anonymous
-4
jim_thompson5910
  • jim_thompson5910
how about the y coordinate for this point |dw:1439769836217:dw|
anonymous
  • anonymous
-6
anonymous
  • anonymous
so wait, the range is between the 2 most nearest whole numbers?
jim_thompson5910
  • jim_thompson5910
the range is between -6 and -4 because these are the possible y values that pop out of the function. No other y value is possible. We can't have y = 0 for instance
jim_thompson5910
  • jim_thompson5910
we write the range as \[\Large -6 \le y \le -4\] which in interval notation is [-6,-4]

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