## anonymous one year ago Find the domain and range, x and y intercepts of the rational function

1. anonymous

$f(x)= \frac{ 2 }{ x ^{2}-2x-3}$

2. triciaal

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

3. triciaal

4. triciaal

|dw:1434948963218:dw|

5. anonymous

So the domain is $x \neq 3 and -1$

6. anonymous

and the range is all real numbers except 0?

7. triciaal

domain all real numbers for any x there is a y

8. anonymous

Im sorry im really bad at this

9. triciaal

don't be sorry and you are asking and getting help so you are trying stay positive

10. anonymous

Thank you.. So i understand how you factored and go those numbers but like what do we do with them

11. triciaal

when x is negative do you see y is when x = 0 y = -2/3 when x is positive y is small

12. triciaal

I set f(x) = 0 means y = 0 to get the x-intercepts the value of x when y = 0

13. anonymous

Okay I understand :)

14. triciaal

|dw:1434949938040:dw|

15. triciaal

the graph does not touch at x = -1 or x = 3

16. anonymous

Got it