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Find the domain and range of the function shown in the graph. Write the domain and range using interval notation.

Find the domain and range of the function shown in the graph Write the domain and range using interval notation class=

Respuesta :

  • Domain: List of x-values that are possible on a line
  • Range: List of y-values that are possible on a line
  • Interval Notation: Notation that represents the interval using the endpoints. Brackets mean that the endpoint is included, parentheses means that it isn't. (e.g: (20,27] . 20 isn't included in the interval, 27 is.)
  • Additional Note: Open circles mean that the point is excluded, closed circles mean that the point is included.

Firstly, let's look at the domain. We see an open circle at x = -6 and a closed circle at x = -1, then an open circle at x = 1 and a closed circle at x = 5. Using what we know, this means that the domain is [tex] (-6,-1]\ \cup\ (1,5] [/tex]

Next, let's look at the range. We see an open circle at y = -3 and a closed circle at y = 2, then we see a closed circle at y = 3 and an open circle at y = 7. Using what we know, this means that the range is [tex] (-3,2]\ \cup\ [3,7) [/tex]

Answer:

Domain: List of x-values that are possible on a line

Range: List of y-values that are possible on a line

Interval Notation: Notation that represents the interval using the endpoints. Brackets mean that the endpoint is included, parentheses means that it isn't. (e.g: (20,27] . 20 isn't included in the interval, 27 is.)

Additional Note: Open circles mean that the point is excluded, closed circles mean that the point is included.

Firstly, let's look at the domain. We see an open circle at x = -6 and a closed circle at x = -1, then an open circle at x = 1 and a closed circle at x = 5. Using what we know, this means that the domain is

Next, let's look at the range. We see an open circle at y = -3 and a closed circle at y = 2, then we see a closed circle at y = 3 and an open circle at y = 7. Using what we know, this means that the range is

Step-by-step explanation:

look up for the numbers