Question

Need help with a graphing question

Answer 1

Hint:
When the leading coefficient of a parabola (coefficient of x^2) is positive, graph opens upwards.
Conversely, when the leading coefficient of a parabola (coefficient of x^2) is negative, graph opens downwards.

Above will help you identify which curve belongs to which function, and hence make the appropriate choice of regions.

Answer 2

I'm confused.

Answer 3

Are those graphs answer choices?

Answer 4

Yes, they are.

Answer 5

So you task is to identify which one is correct, right?

Answer 6

Yes, correct.

Answer 7

So can you type out, or draw the system of two equations so we can work on them?

Answer 8

I think the answer is C, but I really wasn't sure.

Answer 9

I am not interested in choosing answers before finding the proper answer. We call this process a guess.

Answer 10

@mathmate I graphed them out.

Answer 11

Are you allowed to use desmos when you do your exams?

Answer 12

Yes.

Answer 13

So what do you conclude from the desmos graph?

Answer 14

I don't know, that's why I asked for help.

Answer 15

Can you help me?

Answer 16

Fist task is to understand how to interpret graph of inequalities after they are plotted.

Answer 17

Okay. But, if you could just explain to me how to solve I would really appreciate it..

Answer 18

Can you identify which graph represents the first inequality, and which one is the second?

Answer 19

The red one is the first and the blue is the second.

Answer 20

Hints have been given above, reproduced as follows:
Hint:
When the leading coefficient of a parabola (coefficient of x^2) is positive, graph opens upwards.
Conversely, when the leading coefficient of a parabola (coefficient of x^2) is negative, graph opens downwards.

Above will help you identify which curve belongs to which function, and hence make the appropriate choice of regions.

Answer 21

Good!

Answer 22

So can you mark on the drawing which is the region that satisfies ONLY the first inequality.

Answer 23

I'm not sure how to.

Answer 24

The way Desmos works, it will mark in a different colour the feasible region (the area which satisfies the given inequality).
So the red region is the one that satisfies ONLY the first inequality.
Is that ok for you?

Answer 25

I guess.

Answer 26

Guessing is not good. If you do not get it, say so, and what is not clear.

Answer 27

I'm not guessing, I'm just saying I agree

Answer 28

When a student says "I guess", it means "I don't understand, but I agree please go on".
That will not help you understand and do other problems.

Answer 29

The red region satisfies the inequality, and outside, any point outside the red region, the inequality is not satisfied, and therefore cannot be part of the solution.

Answer 30

Okay, so now what.

Answer 31

So do the same for the second inequality for me please, i.e. mark the two regions, one that satisfies and another that does not satisfy the second inequality.

Answer 32

How do I do that?

Answer 33

Look at what I did for the red region, and do the same for the blue (i.e. for the second inequality)

Answer 34

I don't know how to do that.

Answer 35

If you expect me to do all the work and eventually come up with an answer, it's not going to happen.
Mate, you need to participate if you want this to continue.

Answer 36

Okay, and I'm literally telling you I don't understand

Answer 37

As I said, "I guess" means you don't understand.
You need to signal where you start not understanding. We'll start from there.

Answer 38

You're making this process a lot longer than it should be.

Answer 39

I am sorry to hear that.
I understand what that means.
I apologize for trying to help you understand instead of giving you the answer.
Thank you for your time.