Question

On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the x-axis at (1, 0).
What is the domain of the function on the graph?

all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to –2
all real numbers greater than or equal to –3

Answer 1

To determine the domain of the function on the graph, you need to consider the range of x-values over which the function is defined.

Given the points:
- The function begins at point (-2, -3),
- It crosses the y-axis at (0, -0.25),
- It crosses the x-axis at (1, 0).

From this information, the x-values range from -2 (where the function starts) and continue to be defined as the graph proceeds through 0 and reaches at least 1. There is no indication that the function stops at x = 1; therefore, it could continue indefinitely in the positive direction.

Thus, the domain would start from the smallest x-value the function is defined at, which is -2, and continue to include all larger x-values. The correct expression for this is:

**All real numbers greater than or equal to -2**

Thus, the domain of the function is:

**All real numbers greater than or equal to –2.**