Question

Write an inequality for each graph help

Answer 1

Help

Answer 2

@jim_thompson5910 help

Answer 3

first of all, can you get the equation of the function graphed?

Answer 4

arent we suppose to make an equation

Answer 5

I know

Answer 6

Get the equation of the graphed function, check which area/region represented in the graph, then apply the signs < > to match it. This is the sequence I know!

Can you tell me a short one?

Answer 7

can u just show me how this one is done cuz then i can use this as an example for the other problems i have

Answer 8

right now i am just super confused

Answer 9

Please relax. You will get happy when you hit the target!

Answer 10

okay

Answer 11

Do you know what the function graphed is?

Answer 12

this is what i have y=-2lx-3l-4

Answer 13

i think this is wrong

Answer 14

Let me see

Answer 15

May I share a useful "grapher" with you?

Answer 16

sure

Answer 17

www.calorful.com

Answer 18

If you wish, test your functions, algebraic and graphically.

Answer 19

can u just show me how this one is done

Answer 20

I am on it.

Answer 21

For the equation: it is not -| | as -| | is looking down, but the graph we have is looking up, so it will be +| |

Answer 22

Its head is at (1,-4)

Answer 23

okay

Answer 24

So what the whole thing look like?

Answer 25

Take that pic, please.

Answer 26

?

Answer 27

Hope that is clear

Answer 28

Got it?

Answer 29

so its only negative it faces down right?

Answer 30

Right.
for this function and many others

Answer 31

Let's proceed?

Answer 32

i guess

Answer 33

In general for an absolute value function f(x)...
\[\large f(x) = a*\left| x-h \right|+k\]

The vertex point of it is at the point (h,k)
the slope of the line on the right half is 'a'

Answer 34

You have vertex at (h,k)=(1,-4), and slope a=2

\[y=2\left| x-1 \right|-4\]

Answer 35

Now we will test either area (inside the legs of the function and outer) to see which one is shaded.
oK?

Answer 36

i can't seem to understand the 2 where its coming from @DanJS

Answer 37

The function \[f(x)=\left| x \right|\]
has a line slope 1 on the right...
this one has slope a=2

Answer 38

It is a simple test.
Let's pick the origin point as the test point.
Simply the result of direct substitution lead you which sign you should choose.

Answer 39

would the slope be 1/2 because u go 1 left up 2

Answer 40

wouldnt?

Answer 41

\[f(x)=a*\left| x-h \right|+k\]

slope is rise/run, change in y over change in x, here it is 2/1 = 2

For the general function above
The 'a' is the slope , it squishes the graph horizontally or stretches it out..
the vertex point is at (h,k)

Answer 42

oh i see where u r coming from

Answer 43

Like this one here, it is translated 2 left and 2 up, and has a slope of -1 on the right side.

Answer 44

Can we finish this problem?

Answer 45

@MarcoReus11

Answer 46

For th example above...
\[y=-1*\left| x-(-2) \right|+2\]
\[y=-\left| x+2 \right|+2\]

Answer 47

i think u mean by -2 for slope right?

Answer 48

actually nevermind u r right my bad 2 divided by -2 is 1