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Mathematics 7 Online
OpenStudy (anonymous):

f(x)=sin(x)-5 graph in radian, describe domain and range

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@stacy.reed08

OpenStudy (anonymous):

@bullkidd

jimthompson5910 (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

OpenStudy (anonymous):

i have one, i can graph them, i just really need help with the domain and range.

jimthompson5910 (jim_thompson5910):

do you see how the graph extends infinitely in both directions in the horizontal (x axis) direction?

jimthompson5910 (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.

OpenStudy (anonymous):

yes, it suppose to look wavy too right? since i graph it in radian?

jimthompson5910 (jim_thompson5910):

yes it goes up and down

OpenStudy (anonymous):

okay good. so the domain would just be all real numbers?

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

how about the range?

OpenStudy (anonymous):

samething?

jimthompson5910 (jim_thompson5910):

you sure? every y value is a possible output?

OpenStudy (anonymous):

wait, will it be (0,5) since that the only whole y number i got?

jimthompson5910 (jim_thompson5910):

look at the lowest and highest points. What are the y coordinates of those points?

OpenStudy (anonymous):

im lost at this point, the X values go on forever, how do i find the highest and lowests?

jimthompson5910 (jim_thompson5910):

here is the sine curve |dw:1439769652243:dw|

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