Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.1 - Graphs and Models - Exercises - Page 8: 2

Answer

The answer is graph (d)

Work Step by Step

This one might be a bit more complicated than the other graphs but it can be solved in three ways: 1) By solving questions 1,3&4 you immediately see that graph (d) is the only one left. This is the elimination process way. 2) By checking the fact that the equation has restrictions ( values not allowed to be used) we can see that (d) is the only graph that has restrictions. By knowing that the radicand ( value under the radical ) cannot be less than zero, we get x is between -3 and 3. Since (d) is the only graph that has restrictions, then its the answer. 3) The third way is by knowing the fact that the equation represents a semi circle. You can deduce that by comparing it to the original equation for a circle (x-a)^{2}+(y-b)^{2}=r^2;where (a,b) are the co-ordinates of the center and r is the radius. Therefore the answer is (d).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.