Question

1. a part of a linear function h is graphed on the grid.

complete the following statement to describe the domain of the part shown.
all real numbers greater than or equal to 9a and less than or equal to 9b.
9a. *
9b. *

Explanation:

Step1: Identify the leftmost x - value

The domain of a function is the set of all x - values for which the function is defined. Looking at the graph, the leftmost point (the starting point of the line segment) has an x - coordinate. From the grid, we can see that the leftmost point is at \(x=-4\) (since the dot is at the intersection corresponding to \(x = - 4\)). So the lower bound of the domain (the value that all real numbers are greater than or equal to) is \(-4\).

Step2: Identify the rightmost x - value

The rightmost point of the graphed part of the linear function is at \(x = 0\) (the dot on the y - axis has \(x=0\)). So the upper bound of the domain (the value that all real numbers are less than or equal to) is \(0\).

Answer:

9a. \(-4\)
9b. \(0\)