Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Explanation:
Domain and range help describe the values that the function covers.
Domain
The domain of a function describes the x-values covered by a function. This means that any x-value that can be input into the function is part of the domain. The domain of this function is all real numbers. This is because any x-value could be input into the function and give an output. Additionally, the graph will continue for infinity and cover all x-values. In interval notation, the domain is (-∞, ∞). The domain for all quadratic functions is all real numbers, also written as (-∞, ∞).
Range
The range of a function describes the y-values covered by a function. Any y-values that are possible outputs are a part of the range. In this function, we can see that the parabola does not cover the positive y-values. So, the only possible outputs for the function are negative values. This means that our range will only be the negative values. In interval notation, the range is [0, ∞). We use brackets to show that the 0 is included in the range. Since infinity cannot be included in a domain or range, we use parentheses.