Calculus 10th Edition

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

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.4 Exercises - Page 352: 19

Answer

See graph
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Work Step by Step

The graph of $e^x+2$ is just the graph of $e^x$ clamped up by two units. So now, instead of being asymptotic to the x-axis(y=0) towards the negative x-axis, the graph is asymptotic to y=2. With positive values, the limits are the same - it approaches infinity as the x approaches infinity. The y-intercept is $y=e^0+2 =1+2 =3$
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