Question

Which graph has a domain of all real numbers? On a coordinate plane, points are at (negative 4, negative 2), (negative 3, negative 1), (negative 2, 0), (negative 1, 1), (0, 2), (1, 3), (2, 4). On a coordinate plane, a line goes through (negative 4, negative 1) and (0, negative 3). On a coordinate plane, a vertical line is at x = 2.

Answer 1

x=2

Explanation:

A graph with a domain of all real numbers means that the x-values can take any real value, which includes all numbers from negative infinity to positive infinity. Let's examine each given graph to see which one has a domain of all real numbers:

The points provided: These points are all isolated points and do not represent a continuous function. They do not have a clear domain, and they are not connected in a specific way to form a graph.

A line through (-4, -1) and (0, -3): This represents a linear equation, but it's a specific line segment rather than a graph with all real numbers as its domain.

A vertical line at x = 2: This is a vertical line passing through the x-coordinate 2. It is not a function because it doesn't pass the vertical line test, but it does have all real numbers as its domain since any x-value can be chosen.

Based on the provided options, the graph with a domain of all real numbers is the vertical line at x = 2.