Question

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

Answer 1

• 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 $(-6,-1]\ \cup\ (1,5]$

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 $(-3,2]\ \cup\ [3,7)$