Question

Graph the exponential function Plot five points on the graph of the function, and also draw the asymptote.

Answer 1

Solution

We are given the function

$f(x)=(\frac{1}{2})^x$

So we have the point

$\begin{gathered} f(-2)=(\frac{1}{2})^{-2}=4 \\ \\ f(-1)=(\frac{1}{2})^{-1}=2 \\ \\ f(0)=(\frac{1}{2})^0=1 \\ \\ f(1)=(\frac{1}{2})^1=\frac{1}{2} \\ \\ f(2)=(\frac{1}{2})^2=\frac{1}{4} \end{gathered}$

The five points are

$\begin{gathered} (-2,4) \\ (-1,2) \\ (0,1) \\ (1,\frac{1}{2}) \\ (2,\frac{1}{4}) \end{gathered}$

The asymptotes is

$y=0$

The graph with the asymptotes is