anonymous
  • anonymous
Find the domain and range, x and y intercepts of the rational function
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[f(x)= \frac{ 2 }{ x ^{2}-2x-3}\]
triciaal
  • 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
triciaal
  • triciaal
factor the quadratic

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

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