Question

current skill
write the domain as an inequality
write the range as an inequality

Explanation:

Step1: Analyze the graph's vertical extent

The range of a function is the set of all possible \(y -\)values. Looking at the graph, we can see that the \(y -\)values start from \(-5\) (as the graph extends downwards) and go up. The open - circle at the end of the graph (for the domain \(x < 1\)) does not affect the lower - bound of the range.

Step2: Write the range inequality

Since the graph extends infinitely in the positive \(y -\)direction and the lowest \(y -\)value (as per the grid and the trend of the graph) is \(y=-5\), the range as an inequality is \(y\geq - 5\)

Answer:

\(y\geq - 5\)