Question

domain and range
☑ i know the definition of domain and range and
35.)
domain:
range:

Explanation:

Step1: Identify the domain

The domain of a graph is the set of all x - values covered by the graph. Looking at the graph, the leftmost point has an x - value of - 5 (assuming the grid lines correspond to integer values) and the rightmost point has an x - value of 5. Since the graph is a line segment connecting these two points, the domain is all real numbers from - 5 to 5, inclusive. In interval notation, this is \([-5,5]\).

Step2: Identify the range

The range of a graph is the set of all y - values covered by the graph. Looking at the y - coordinates of the points on the line segment, the lowest y - value (from the left - most point) and the highest y - value (from the right - most point) can be determined. The left - most point has a y - value of - 3 (assuming the grid lines) and the right - most point has a y - value of 0. So the range is all real numbers from - 3 to 0, inclusive. In interval notation, this is \([-3,0]\).

Answer:

Domain: \([-5, 5]\)
Range: \([-3, 0]\)