Finding the domain and range of a graph.

The parenthesis versus bracket thing is very important when entering your answer.

Interval part:

Domain: (-5,5]

Range: (2,3]

Inequality part:

Domain:

Range:

Step-by-step explanation:

For domain, you read the graph from left to right.

The domain is all the x's where the relation exists.

We see that the line starts at x=-5 and ends at x=5.

We are NOT going to include x=-5 because there is a hole; this means immediately after x=-5 does the line exist.  

We are going to include x=5 because the whole is filled which means our relation exists for x=5.

So an interval notation the domain is (-5,5].

The parenthesis means not to include the endpoint where the bracket mean to include.

The range is the y values for where the relation exists so you look from bottom to top or down to up.

So we see the first y is at y=2 (again there doesn't exist a point at y=2 because of the hole so we are going to have a parenthesis here which means not to include).

Reading up from there we see the last y that is reached is y=3 and we do include that point because the hole is filled.

So the range in interval notation is (2,3].

Assume is a smaller value than .

Now if you have the variable u is in the  interval then the inequality is .

If the interval was then it would be

If the interval was then it would be

If the interval was then it would be

So if you haven't guessed it, if you see an equal part in your inequality than you will have a bracket for that number in the interval notation.

So let's look at our answers from above to find the inequality notation:

Domain: (-5,5]

Domain is the x's where the relation exists.

So this means we have .

Range: (2,3]

Range is the y's where the relation exists:

So this means we have .

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

were is the equation