Question

1. domain and range (20 points) the graph of part of linear function g is shown on the grid. domain: range: circle: discrete / continuous finite / infinite

Explanation:

Step1: Identify domain from graph

The domain is the set of all x - values. The graph starts at x = - 4 (open - circle) and ends at x = 6 (closed - circle). So, the domain is $-4\lt x\leq6$.

Step2: Identify range from graph

The range is the set of all y - values. The graph starts at y = - 2 (closed - circle) and ends at y = 4 (open - circle). So, the range is $-2\leq y\lt4$.

Step3: Determine if domain and range are finite/infinite and discrete/continuous

The domain and range have a limited number of values within an interval, so they are finite. Also, since the values can take on any value within the intervals (not just distinct separate values), they are continuous.

Answer:

Domain: $-4\lt x\leq6$, Finite, Continuous
Range: $-2\leq y\lt4$, Finite, Continuous