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: 49

Answer

The function has no intercepts. The graph is anti symmetric and shown on the figure

Work Step by Step

Graph intercept with $y$ axis is found putting $x=0$ in the equation so we find $$y=\frac{8}{0}$$ but this is impossible because we can't divide by zero. To find the intercept with $x$ axis we put $y=0$ and we get the equation $$0=\frac{8}{x}\Rightarrow x=\frac{8}{0}$$ and again this is impossible since we cannot divide with zero. This means that the graph does not have any intercepts. To test for symmetry we put $-x$ instead of $x$ and we see that $$y(-x) = \frac{8}{-x} = -\frac{8}{x} = -y(x)$$ so this graph is anti symmetric i.e. the part on the negative side of $x$ axis looks like the one of the positive but upside down.
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.