# VCE Maths questions help (1 Viewer)

#### boredsatan

##### Member
What's the difference between open and closed brackets?

#### InteGrand

##### Well-Known Member
What's the difference between open and closed brackets?
$\bg_white \noindent For interval notation, an open bracket means you exclude that endpoint and a closed bracket means you include that endpoint. For example, if x is in (3, 4], this means that 3< x \leq 4.$

#### boredsatan

##### Member
$\bg_white \noindent For interval notation, an open bracket means you exclude that endpoint and a closed bracket means you include that endpoint. For example, if x is in (3, 4], this means that 3< x \leq 4.$
How about when stating the domain and range. How do you find out if it's open or closed?

#### boredsatan

##### Member
How about when stating the domain and range. How do you find out if it's open or closed?
bump!
How do you know weather to state the domain with open or close brackets?

#### InteGrand

##### Well-Known Member
bump!
How do you know weather to state the domain with open or close brackets?
Depends on whether the domain includes the endpoint or not.

#### boredsatan

##### Member
Depends on whether the domain includes the endpoint or not.
Some questions ask you to state the domain and range of a graph. How do you know weather to state it as open or closed?

#### InteGrand

##### Well-Known Member
Some questions ask you to state the domain and range of a graph. How do you know weather to state it as open or closed?
If they give you the graph, you can look at it to see if an endpoint is included or not.

#### boredsatan

##### Member
If they give you the graph, you can look at it to see if an endpoint is included or not.
So if it was a parabola that had arrows going in each direction would it be infinity and open bracket?

#### InteGrand

##### Well-Known Member
So if it was a parabola that had arrows going in each direction would it be infinity and open bracket?
$\bg_white \noindent It would be (-\infty, \infty). In other words, \mathbb{R}.$

#### boredsatan

##### Member
$\bg_white \noindent It would be (-\infty, \infty). In other words, \mathbb{R}.$
Is this for the domain or the range?

#### boredsatan

##### Member
What is the domain and range of y = 3/(x+2)^2 + 2?

#### Drongoski

##### Well-Known Member
Assuming the natural domain; i.e. largest set of values of x that is allowed. For this question, where presumably we are dealing with a real function, it is all real values except x = -2; when x = -2, you will have a division by zero - which is a Cardinal sin in maths. The corresponding range is all y > 2; i.e. all real numbers greater than 2.

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#### boredsatan

##### Member
Assuming the natural domain; i.e. largest set of values of x that is allowed. For this question, where presumably we are dealing with a real function, it is all real values except x = -2; when x = -2, you will have a division by zero - which is a Cardinal sin in maths. The corresponding range is all y > 2; i.e. all real numbers greater than 2.
is there any other domain possible?

#### boredsatan

##### Member
How should I prepare for my maths application task, which is in a week.?

#### boredsatan

##### Member
How should I prepare for my maths application task, which is in a week.?
any thoughts?