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Mathematics 23 Online
OpenStudy (vera_ewing):

Pre-calculus question

Vocaloid (vocaloid):

well, take a look at the denominator. is there an x value that will make the denominator equal to 0?

OpenStudy (vera_ewing):

I am not sure...

Vocaloid (vocaloid):

the denominator is 7, and 7 will always equal 7, so our function will always be defined no matter what x is

Vocaloid (vocaloid):

so there aren't any discontinuities

OpenStudy (vera_ewing):

Ok, so now what?

Vocaloid (vocaloid):

that's it, remember that a discontinuity happens when there's an x-value that doesn't give an output value

Vocaloid (vocaloid):

our function is continuous

OpenStudy (vera_ewing):

Ok thanks!

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