how would you graph this?? (Algebra II masters??)?

Question

http://www2.warwick.ac.uk/fac/soc/law/elj/lgd/2003_2/gupta/gupta4.jpg

just look at the 'L' shape. how would you graph the inverse of that/??

ugh im desperate.

Answer 1

the inverse of (c/x)= y would be xy = c

it would just be a line y = xc, where c is a constant.



assume c = 1

so draw the line y = x

Answer 2

Generally the inverse follows one of two principles. Either reflect it over the line x=y or to change the positions of x and y in the equation (i.e. y=1/x would become x=1/y... which happens to be the equation you are looking at)



But the equation you showed us looks like it has more to do with economics than algebra due to the labeling I am seeing on it. So you may need to provide more details about the problem in question to get the best answer.

Answer 3

If a general function of one variable has an inverse, the graph of its inverse function is symmetric to its graph around the bisector of the quadrant I in the Cartesian coordinate system.



Regarding your example, it appears the "L"-shaped graph is already symmetric around the bisector of the first quadrant, hence it follows the graph of its inverse will coincide with, or be identical with it.

Answer 4

it looks like y=1/x, which is its own inverse. but you can:



1. draw a picture, flipping the function over the line y=x

2. swap coordinates and plot points. ex: any point (x,y) is on the inverse as (y,x)

Answer 5

looks like a hyperbola.

xy = a