graph the exponential function.\n\n$f(x)=3^{-x}$\n\nplot five points on the graph of the function, and also…

graph the exponential function.\n\n$f(x)=3^{-x}$\n\nplot five points on the graph of the function, and also draw the asymptote. then click on the graph - a - function button.

graph the exponential function.\n\n$f(x)=3^{-x}$\n\nplot five points on the graph of the function, and also draw the asymptote. then click on the graph - a - function button.

Answer

Explanation:

Step1: Choose x - values

Let (x=- 2,-1,0,1,2).

Step2: Calculate corresponding y - values

When (x = - 2), (y = 3^{-(-2)}=3^{2}=9). When (x=-1), (y = 3^{-(-1)}=3^{1}=3). When (x = 0), (y=3^{-0}=1). When (x = 1), (y = 3^{-1}=\frac{1}{3}). When (x = 2), (y = 3^{-2}=\frac{1}{9}).

Step3: Identify the asymptote

The exponential function (y = a^{-x}) ((a>0,a\neq1)) has a horizontal asymptote (y = 0).

Answer:

The five points are ((-2,9),(-1,3),(0,1),(1,\frac{1}{3}),(2,\frac{1}{9})) and the horizontal asymptote is (y = 0).