Find the domain and range, x and y intercepts of the rational function

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Find the domain and range, x and y intercepts of the rational function

Mathematics
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\[f(x)= \frac{ 2 }{ x ^{2}-2x-3}\]
domain set of x values range set of y values x-intercept when y = 0 y-intercept when x = 0 restrictions values of x that will make the denominator zero you do not want to divide by zero
factor the quadratic

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|dw:1434948963218:dw|
So the domain is \[x \neq 3 and -1\]
and the range is all real numbers except 0?
domain all real numbers for any x there is a y
Im sorry im really bad at this
don't be sorry and you are asking and getting help so you are trying stay positive
Thank you.. So i understand how you factored and go those numbers but like what do we do with them
when x is negative do you see y is when x = 0 y = -2/3 when x is positive y is small
I set f(x) = 0 means y = 0 to get the x-intercepts the value of x when y = 0
Okay I understand :)
|dw:1434949938040:dw|
the graph does not touch at x = -1 or x = 3
Got it

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