graph the exponential function.\n\n$f(x)=2^{x}$\n\nplot five points on the graph of the function, and also…

graph the exponential function.\n\n$f(x)=2^{x}$\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$f(x)=2^{x}$\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 = 2^{-2}=\frac{1}{4}=0.25). When (x=-1), (y = 2^{-1}=\frac{1}{2}=0.5). When (x = 0), (y=2^{0}=1). When (x = 1), (y = 2^{1}=2). When (x = 2), (y = 2^{2}=4).

Step3: Identify the asymptote

The exponential function (y = 2^{x}) has a horizontal asymptote at (y = 0) (the x - axis) since as (x\to-\infty), (y\to0).

Answer:

The five points are ((-2,0.25),(-1,0.5),(0,1),(1,2),(2,4)) and the horizontal asymptote is (y = 0).