Question

please help me! ):

Answer 1

find the domain and range of y<=3x-2

Answer 2

\[y \le3x-2\]

Answer 3

find x and y int

Answer 4

how?

Answer 5

solve when x=0, y co-ordinate

Answer 6

so i plug in 0 as x and solve?

Answer 7

ok

Answer 8

i got \[y \le-2\]

Answer 9

yes so all y values are more than or equal to -2

Answer 10

actually nvm

Answer 11

sorry

Answer 12

dont copy that

Answer 13

its ok

Answer 14

sorry thinkin abt smthing else

Answer 15

ohh lol

Answer 16

domain and range are both real

Answer 17

all real numbers? how did you get that?

Answer 18

exactly, the domain and range of any linear equation (that's not vertical or horizontal) is the set of all real numbers


This idea extends to linear inequalities as well.

Answer 19

yes

Answer 20

so it only isn't all real numbers if its a parabola? i think i'm getting it...

Answer 21

doesnt matter if they are an inequality or not

Answer 22

frankly i am not sure what this problem even means
looks like x can be any number, as can y

Answer 23

okay. any idea how to graph it?

Answer 24

http://www.wolframalpha.com/input/?i=y%3C%3D3x-2
or t
try http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

Answer 25

i would use second one for graphing it looks nice

Answer 26

thanks!

Answer 27

First, graph the line y=3x-2


now plug in the test point (0,0) ie plug in x = 0 and y = 0 to get

y<=3x-2

0<=3(0)-2

0<=0-2

0<=-2

Since this inequality is false, this means that (0,0) is NOT in the shaded region. So shade the entire region that doesn't include (0,0)

Answer 28

ok

Answer 29

thank you everyone!