graph the logarithmic function.\n$f(x)=log _{2}x$\nplot two points on the graph of the function, and also…

graph the logarithmic function.\n$f(x)=log _{2}x$\nplot two points on the graph of the function, and also draw the asymptote. then click on the graph - a - function button.

graph the logarithmic function.\n$f(x)=log _{2}x$\nplot two points on the graph of the function, and also draw the asymptote. then click on the graph - a - function button.

Answer

Explanation:

Step1: Find the first - point

Let (x = 1). Then (y=\log_{2}1). Since (2^{0}=1), (y = 0). So one point is ((1,0)).

Step2: Find the second - point

Let (x = 2). Then (y=\log_{2}2). Since (2^{1}=2), (y = 1). So another point is ((2,1)).

Step3: Determine the asymptote

The vertical asymptote of the function (y = \log_{2}x) is (x = 0) (the (y) - axis) because the domain of (y=\log_{2}x) is (x>0) and as (x\to0^{+}), (y\to-\infty).

Answer:

Two points: ((1,0)) and ((2,1)), Asymptote: (x = 0)