Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1 - Page 419: 36

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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 $(0,1)$.