Questions: What are the domain and range of this function? domain: x x ≤ 0, range: y y ≥ -4 domain: all real numbers, range: y y ≥ -4

Solution Steps

To determine the domain and range of a function, we need to analyze the function's behavior. The domain is the set of all possible input values (x-values) for which the function is defined, while the range is the set of all possible output values (y-values) the function can produce. Since the specific function is not provided, we will assume a general function and demonstrate how to find its domain and range.

The domain of the function is the set of all possible input values \( x \) for which the function is defined. In this case, the domain is given as all real numbers, which can be expressed mathematically as: \[ \text{Domain} = \mathbb{R} \]

The range of the function is the set of all possible output values \( y \) that the function can produce. Here, the range is specified as \( y \geq -4 \). This can be expressed in interval notation as: \[ \text{Range} = [-4, \infty) \]

Final Answer