Answer:
Graph a
- Domain: (-∞, 6)
- Range: (-∞, 6]
Graph b
- Domain: [-6, 6]
- Range: [-7, 2]
Explanation:
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
The range of a function is the set of all possible output values (y-values) for which the function is defined.
Graph a
The provided graph shows a curve with a defined endpoint at (6, 1.5) that continues indefinitely to negative infinity as x approaches negative infinity (shown by the arrow at the endpoint in quadrant IV).
There is an open circle at endpoint (6, 1.5), which means that this point is not included in the domain and range of the function.
The maximum point of the curve is (3, 6).
Therefore:
- Domain: (-∞, 6)
- Range: (-∞, 6]
Graph b
The defined endpoints of the graphed function are (-6, -7) and (6, -6). The endpoints are not open circles, so they are included in the domain and range of the function.
The maximum point of the graph is (-4, 2), and the minimum point of the graph is the endpoint (-6, -7).
Therefore:
- Domain: [-6, 6]
- Range: [-7, 2]