Question

cr algebra ii
relations and functions
inequalities that describe domain and range
complete the inequality to describe the domain of the graph shown.
domain: -2 ≤ x ≤ 4
complete the inequality to describe the range of the graph shown.
range: -3 ≤ y < 5

Explanation:

Step1: Determine Domain

The domain is the set of all x - values the graph covers. From the graph, the leftmost point (closed dot) is at \( x=-2 \) and the rightmost point (open dot) is at \( x = 4 \). So the domain inequality is \( - 2\leq x<4 \).

Step2: Determine Range

The range is the set of all y - values the graph covers. The lowest point (related to the inequality) is at \( y=-3 \) (closed dot implication for the lower bound) and the highest point (open dot) is at \( y = 5 \). So the range inequality is \( -3\leq y<5 \).

Answer:

Domain: \( \boldsymbol{-2\leq x<4} \)
Range: \( \boldsymbol{-3\leq y<5} \)