Question

okay no i have a question ;D it's the write the equation for a piece wise fucntion junk, but i don't get this one.....?.....................

Answer 1

i will upload a picture ...

Answer 2

\[f(x) = |x+4| = \left\{\begin{array}{rcc}
x + 4 & \text{if} & x \geq -4 \\
- x - 4& \text{if} & x < -4
\end{array}
\right.
\] just showing off

Answer 3

haha very funny

Answer 4

sorry, couldn't resist. i will be quiet and wait for the picture

Answer 5

okay it's Number 38 ! LOL, btw satellite.....ur old ,jk
help?

Answer 6

old? you have no idea!

Answer 7

sorry it's side ways

Answer 8

so we three 3 different linear equations

Answer 9

so lets work on the first one

Answer 10

i will do #38

Answer 11

okay :D

Answer 12

we see that (-2,4) and (-4,-2) lie on the first line

Answer 13

we can find the slope and the y-intercept
using
\[m=\frac{y_1-y_2}{x_1-x_2}=\frac{4-(-2)}{-2-(-4)}=\frac{6}{2}=3\]
\[y-y_1=m(x-x_1)\]
\[y-4=3(x-(-2))\]
\[y=3x+6+4=>y=3x+10\]
so this line y=3x+10 is defined (-inf,2]

Answer 14

now the second line is a constant which is y=4 it is defined on (-2,2)

Answer 15

three lines. they change at -1 and 1
between -1 and 1 the function is constant. it is 2
before -1 it is a line with slope 3 (over 1, up 3) and since it goes up to (-1,2) the equation is
\[y-2=3(x-1)\] or
\[y=3x+5\] so we know it will look like
\[f(x) = \left\{\begin{array}{rcc}
3x + 4 & \text{if} & x \leq -1 \\
2& \text{if} & -1<x < 1\\
\text{something}& \text{if} & x>1
\end{array}
\right.
\]

Answer 16

now last line

Answer 17

opps sorry for the picture flip, but it sounds right

Answer 18

we see (2,4) and (4,-2) is on the line
\[m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-(-2)}{2-4}=\frac{6}{-2}=-3\]
\[y-y_1=m(x-x_1)\]
\[y-(-2)=-3(x-4)\]
\[y+2=-3x+12\]
\[y=-3x+10\]
defined on [2,inf)

Answer 19

so this line y=3x+10 is defined (-inf,2] <------ how do u know it is closed circle?

Answer 20

they match up there so it makes no difference

Answer 21

you can do it either way it doesn't matter

Answer 22

OHHH

Answer 23

you can include for the constant line instead

Answer 24

still i am wrong!!!!!!!!!!!!!!!!!!!

Answer 25

\[f(x) = \left\{\begin{array}{rcc}
3x + 10 & \text{if} & x \leq -2 \\
4 & \text{if} & -2<x < 2\\
-3x+10& \text{if} & x\geq 2
\end{array}
\right.\]

Answer 26

lol satellite

Answer 27

why do they have to count by 2's?

Answer 28

lol satellite is to eager to help so he/she keeps messing up

Answer 29

i am going to go delete all my wrong posts.

Answer 30

my excuse it i had to read it sideways. that, and i am old...

Answer 31

lol maybe you should retire

Answer 32

satellite is awesome
don't make him retire

Answer 33

yeah it is time. after labor day for sure

Answer 34

don't leave me satellite

Answer 35

it's just an option, you really dont have to if you don't want to

Answer 36

actually i just wanted to show off my piecewise function.

Answer 37

LOL, i wish i was smart,so i would actually have the ability to show off

Answer 38

BTW ty all