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← Critical Numbers - College Algebra

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Showing Revision 2 created 05/24/2016 by Udacity Robot.

  1. When we talked about quadratic inequalities, it referred to things called
  2. critical numbers. These are the numbers that divided up our number line into the
  3. different intervals that we could consider to figure out which ranges of values
  4. satisfied our inequalities. For quadratic inequalities, we got these numbers
  5. from factoring and depending on what rational expressions we have that maybe the
  6. case as well. But we can generalize about it. You remember that for quadratic
  7. inequalities, we found our critical values by figuring out which values of x
  8. would cause the quadratic expression to equal 0. And we basically have the same
  9. requirement for rational inequalities except that this time, we have one
  10. polynomial divided by another polynomial. So, you have two different sources of
  11. critical numbers. In either case, whether we're talking about the numerator or
  12. the denominator, we'll come up with a critical value for every value of x that
  13. will make either one of those 0. Considering this method for finding critical
  14. numbers, what critical numbers do you find for this inequality that we were just
  15. talking about? If you happen to find more than one critical number, then please
  16. separate them by commas.