Answer:
Domain: [-5, ∞)
Range: [-3, ∞)
Explanation:
The given graph shows a continuous curve with a closed circle at the left endpoint (-5, -3) and an arrow at the right endpoint.
A closed circle indicates the value is included in the interval.
An arrow shows that the function continues indefinitely in that direction.
Domain
The domain of a function is the set of all possible input values (x-values).
As the leftmost x-value of the curve is x = -5, and it continues indefinitely in the positive direction, the domain of the graphed function is:
- Interval notation: [-5, ∞)
- Inequality notation: x ≥ -5
- Set builder notation: x ∈ R
Range
The range of a function is the set of all possible output values (y-values).
From observation, it appears that the minimum y-value of the curve is y = -3. The curve continues indefinitely in the positive direction in quadrant I. Therefore, the range of the graphed function is:
- Interval notation: [-3, ∞)
- Inequality notation: y ≥ -3
- Set builder notation: y ∈ R