1. Write an exponential function, $f(x) = Ca^x$, given that the graph of the function passes through the points $(0, \frac{1}{3})$ and $(5, 81)$.
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Step 1
For the point $(0, \frac{1}{3})$, we have: $\frac{1}{3} = Ca^0$ Since $a^0 = 1$, we get: $\frac{1}{3} = C$ So, $C = \frac{1}{3}$. Show more…
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