Question

Graph the exponential function.G(x)=(1/3)^xPlot five point on the graph of the function.

Answer 1

Graph the function:

$G(x)=(\frac{1}{3})^x$

We'll use the following values of x: {-2, -1, 0, 1, 2}.

Substituting:

$G(-2)=(\frac{1}{3})^{-2}=3^2=9$

$G(-1)=(\frac{1}{3})^{-1}=3^1=3$

$G(0)=(\frac{1}{3})^0=1$

$G(1)=(\frac{1}{3})^1=0.333$

$G(2)=(\frac{1}{3})^2=0.111$

The graph of the function is shown below: