Question

Can someone help me to find the points of these equations and tell me what the domain and range of both? Thank you!

1st Equation: y = │x-1│ + 2

2nd Equation: x= -√y

Answer 1

1. Make a table. Choose a few values of x. Calculate y. Then plot.

x | y
-----
-4 |
-3 |
-2 |
-1 |
0 |
1 |
2 |

Answer 2

I did that and my teacher said it was wrong? I wrote the following: for the 1st EQ.
x 0 1 2 3
y = │x-1│ + 2 3 2 3 4

Answer 3

x | y
-----
-4 |
-3 |
-2 |
-1 |
0 | 3
1 | 2
2 | 3
4 | 4

Answer 4

Those are the points you did using my table. If you find the y values for the other x values I suggested, you'll get a better idea of what the graph will look like.

Answer 5

No, those are the points that I used on my assignment and I all ready know that they are incorrect.

Answer 6

So using your table it would look like this:
x = 0 1 2 3
y= 3 2 3 4

Correct?

Answer 7

They are correct.

Answer 8

You are saying that the table you have just written is correct, right!

Answer 9

Yes. Your values are correct. I just think you need a few more values using negative values of x, as I put on my table, to get a better idea of what the graph will be like. Then from the graph you can see what the domain and range are.

Answer 10

I included my graph with my work! So using your number what would he range and domain be on the first equation?

Answer 11

Copy and paste the table below and fill in the missing y-coordinates.
x | y
-----
-4 |
-3 |
-2 |
-1 |
0 | 3
1 | 2
2 | 3
4 | 4

Answer 12

I am all ready confused. I found what I felt were the right points created a graph and included what I thought was the correct range and domain, clearly I was wrong and I don't want to get my second try wrong, can you tell me what the correct coordinates are?

Answer 13

The points you showed me are all correct. Doing it it the same you way you found your points, find the y-coordinates for x values from -4 to -1 and fill in my table.

Answer 14

If i am correct why did my teacher tell me that I am incorrect? I do not understand.

Answer 15

Your points were correct, but they may not be enough to give a complete picture of what the graph looks like. You need more points. Tat's why I suggested doing those negative values of x too.

Answer 16

He also said all of my points were wrong!

Answer 17

I included a 3 complete graphs with the points on them!

Answer 18

I don't know what you told your teacher about domain,range, a graph if any, so I can't commnt o that.

Answer 19

Domain={0,1,2,3}
Range ={2,3,4},

Answer 20

I wrote 3 once since it was repeated and wrote that in a note.

Answer 21

I see now. That is not correct because you are only taking into account the points you used. This graph goes on forever.
If you want me to explain it to you, please do what I asked you to do.
Fill in my table. Then we'll graph it and I'll explain to you why your domain and range are not correct, and what the correct domain and range are.
First please fill in my table.

Answer 22

x -4 -3 -2 -1
y = │x-1│ + 2 3 2 3 4

Answer 23

Why do you keep doing it that way with points that don't line up. My table is much easier to read.

Answer 24

(-1, 4) is correct. The others are not.

Answer 25

The example for this assignment looks like this. I think this is what you are asking me for.

x y
-4 4

-3 3

-2 2

-1 1

Answer 26

y = |x - 1| + 2, for x = -4
y = |-4 - 1| + 2
y = |-5| + 2
y = 5 + 2
y = 7, so you get (-4, 7)

Answer 27

y = |x - 1| + 2

x | y
-----
-4 | 7
-3 | 6
-2 | 5
-1 | 4
0 | 3
1 | 2
2 | 3
4 | 4

These are the correct y values for x = -4 to x = -1

Answer 28

Now we plot these points.

Answer 29

Here's our graph "paper." Now we plot the points.