Draw the graph of the function y = f (x) = 2/x between x = 1/2 and x = 4.

Solution:

In every function, the input element x is called the independent variable and the output y is called the dependent variable. 

Let's represent the graph of rational function y = f (x) = 2/x using a graph.

If x ∈ R, then f(x) = y can be represented as a graph in the cartesian coordinates system.

The graph of the function y = f(x) = 2/x { x ∈ R ; x ≥ 1/ 2 , x ∈ R ; x ≤ 4}

Therefore, the graph of function y = f(x) = 2/x between x = 1/ 2 and x = 4 is a rectangular hyperbola for which the x-axis and y-axis are asymptotes, where asymptotes are tangent to the curve at infinity has been drawn.

Draw the graph of the function y = f (x) = 2/x between x = 1/2 and x = 4.

Summary:

The graph of function y = f(x) = 2/x between x = 1/ 2 and x = 4 is a rectangular hyperbola for which the x-axis and y-axis are asymptotes, where asymptotes are tangent to the curve at infinity has been drawn.