Hi how do I find the domain and range for these?

Algebra
Tutor: None Selected Time limit: 1 Day

Sep 10th, 2015

Thank you for the opportunity to help you with your question!

The domain is the set of all first elements of ordered pairs (x-coordinates).
The range is the set of all second elements of ordered pairs (y-coordinates).

The domain tells us all the x values that our function can be. To find these by looking at the graph, we look for x values that the graph never touches. Ask yourself, at what points does the graph jump? Well, the graph seems to jump or break apart at the vertical asymptotes. So all the vertical asymptotes of our function tell us what numbers are not part of our domain.

How to find Range

  • The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)
  • Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)
  • Make sure you look for minimum and maximum values of y.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 10th, 2015

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