Answer :

Answer:

The range is {-5, 2, 4, 5, 9}

Step-by-step explanation:

Range

Range is the span all possible y-values for a function or a set.

Range is written either as,

  • an inequality like -3 < y < 10 or, 4 ≤ y < 9
  • in set notation like { 1, 2, 3, 4, 5} or, { [tex]\mathbb{R}[/tex] | y > 0}
  • interval notation like  [tex][3,12)[/tex] or,  [tex]\: (2,+ \infty)[/tex].

Depending on whether range of a function or a set, will determine what way the range should be presented as.

For functions, an inequality or interval notation is appropriate since their values are continuous. This "continuousness" can be seen when graphing a function, the graph passes through every possible y value between two y values.

For sets, set notation is suitable because it can detail every possible y-value in the set.

It's also expected that the numbers in set notation are ordered by ascending order and without copies.

Applying Range

We're given a set so, set notation must be utilized here. We focus only on the y-values of array of coordinate pairs and record each of their values.

The range is then,

                                    {2,4,5,2,9,-5},

after applying the norms for set notation the final answer is,

                                  { -5, 2, 4, 5, 9}.