Question

FAN AND MEDAL:

Answer 1

The graph of a function f(x) is shown provided:


What is the domain of f(x)?

-3 ≤ x < 1

-3 < x ≤ 1

-4 < y ≤ 2

-4 ≤ y < 2

Answer 2

Tell me, what does "domain" of a function means?

Answer 3

domain is x values

Answer 4

Correct! Therefore, you can ignore last two options.

Answer 5

now tell me the difference between "<" and "≤" sign.

Answer 6

< means less than and ≤ means less than or equal to

Answer 7

Correct, now look at the graph, and tell me where does the "x" value start and end for which you have an output (y).

Answer 8

the x-value starts at -3 and ends at 1

Answer 9

Correct, but now you need to decide, but now we need to decide the equality sign.

Answer 10

What do you mean?

Answer 11

The filled dot means, the value at that point is included and the dot which is blank, means the value at the point is excluded.

Answer 12

Okay. I'm sorry but what am I looking for? lol I'm not really good at math :(

Answer 13

The difference between the signs you just told me is depicted by these tiny circles, the blank one means, the value is either greater than or less than but not equal to and the filled dot means the value is included (equal).

Answer 14

Okay. So how do I find the domain? Because thats the point of this, right?

Answer 15

Correct, you just told me everything, the correct answer is " -3 < x ≤ 1"

Answer 16

Awesome! Do you think you can try to help me with a few more questions?

Answer 17

Sure, please post, I just want you to get the concept.

Answer 18

Thank you