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

Graph the exponential function Plot five points on the graph of the function, and-example-1

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Solution

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

Graph the exponential function Plot five points on the graph of the function, and-example-1
Graph the exponential function Plot five points on the graph of the function, and-example-2
User Peter Mourfield
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