Question

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

Answer 1

We are given the function

`f(x)=((1)/(2))^x`

So we have the point

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

The five points are

`\begin{gathered} (-2,4) \\ (-1,2) \\ (0,1) \\ (1,(1)/(2)) \\ (2,(1)/(4)) \end{gathered}`

The asymptotes is

`y=0`

The graph with the asymptotes is