Question

14. Compare the graphs of the inverse variations. Please provide at least 3 comparisons

Answer 1

By graphing the given function. See the attached figure.

`y= (-0.2)/(x) \ (blue \ graph) \ \ \ \ \ \& \ \ \ \ \ \ y= (-0.3)/(x) \ (red \ graph)`
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
`(1)/(x)` 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