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: 26


(0,-1) (+$\sqrt \frac{1}{3}$, 0) and (-$\sqrt \frac{1}{3}$, 0)

Work Step by Step

To find the year intercept that is (0,y) Substitute y=0 in the equation y=2x-$\sqrt (x^{2}+1) $ y=2(0)-$\sqrt ( (0)^{2}+1) $=-1 (0,-1) For the x intercept put y=0 and solve for x 0=2x-$\sqrt (x^{2}+1) $ 2x=$\sqrt (x^{2}+1) $ 4$x^{2}$=$(x^{2}+1) $ square on both sides 3$x^{2}$=1 $x^{2}$=$\frac{1}{3}$ square root booth sides x=+$\frac{1}{3}$ and -$\frac{1}{3}$ when using square root, + and - sign is added.
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