Question

*** Will give you a medal ***
Compare the graphs of the inverse variations by comparing asymptotes, similar points, lines of reflections, and quadrants.
y=-0.7/x and y=-0.9/x

Answer 1

@jim_thompson5910

Answer 2

are you able to graph these two equations

Answer 3

yeahh

Answer 4

what similarities do you see

Answer 5

they are both negatives and decimals

Answer 6

good, so they are reflected versions (over the x-axis) of y = 1/x

Answer 7

yes.

Answer 8

they are also compressed a bit compared to y = 1/x, although, y = -0.7/x is a bit more compressed than y = -0.9/x

Answer 9

which quadrants do both go through?

Answer 10

3 and 4 ?

Answer 11

close, but it's 2 and 4

Answer 12

and finally, what are the asymptotes of each

Answer 13

i have no idea.. idk how to do those.

Answer 14

what's the vertical asymptote of y = 1/x

Answer 15

idk. idk how to do that.

Answer 16

notice how if x = 0, then you get an undefined error

Answer 17

because you can't divide by zero

Answer 18

so the vertical asymptote is x = 0

Answer 19

yeah

Answer 20

the vertical asymptotes of y=-0.7/x and y=-0.9/x are both x = 0 because of that same reason

Answer 21

similarly, the horizontal asymptotes are y = 0

a graph will help see this and you can find the domain of the inverse to get the same thing

Answer 22

okay.

Answer 23

thanks (:

Answer 24

yw