Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1: 36

Answer

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Work Step by Step

All exponential functions, regardless of base, go through $(0,1)$. This means that $f(0)=1$, or $b^{0}=1$. Any number (besides base zero, which isn't even exponential) raised to the zeroth power is 1, so the function always passes through $(0,1)$.
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