By graphing the given function. See the attached figure.
[tex]y= \frac{-0.2}{x} \ (blue \ graph) \ \ \ \ \ \& \ \ \ \ \ \ y= \frac{-0.3}{x} \ (red \ graph) [/tex]
We can conclude the following
1. both of them is a rational function.
2. both are not defined for x = 0
3. both have the same symmetry axis: y = x
4. both have the same asymptotes: the y-axis, i.e. y = 0
5. they never touch one to each other
6. y→0 as x→±∞ for both equations
7. y→+∞ as x→0− and y→−∞ as x→+0 for both equations
8. both of them can be obtinad from the parent function [tex] \frac{1}{x} [/tex] using the scales -0.2 and -0.3
9. the function y=−0.2/x is closer to the origin than the function y=−0.3/x
