How do you graph f(x)=(1/7)^x?

Jun 6, 2015

This exponentially decaying function passes through the points:
$\left(- 2 , 49\right)$, $\left(- 1 , 7\right)$, $\left(0 , 1\right)$, $\left(1 , \frac{1}{7}\right)$, $\left(2 , \frac{1}{49}\right)$

As $x \to \infty$ $f \left(x\right) \to {0}_{+}$ very fast

As $x \to - \infty$ $f \left(x\right) \to \infty$ very fast

graph{(1/7)^x [-10, 10, -5, 5]}