Question

1. the graph of part of a linear function is shown. which inequality best represents the range of the part shown? a. -6≤x≤5 b. -5 < y ≤1 c. -6≤x<5 d. -5≤y<1 11. which graph represents a function with a domain greater than or equal to -6 and less than 1? a. graph a b. graph b c. graph c d. graph d

Explanation:

Step1: Recall range definition

The range of a function is the set of all possible output - values (y - values).

Step2: Analyze the graph for y - values

By looking at the graph of the linear function in question 10, we identify the lowest and highest y - values. The lowest y - value is approximately - 5 (open - circle, so not included) and the highest y - value is 1 (closed - circle, so included). So the range is \(-5 < y\leq1\).

Step3: Recall domain definition for question 11

The domain of a function is the set of all possible input - values (x - values). We need to find the graph where \(x\geq - 6\) and \(x < 1\). A closed - circle at \(x=-6\) and an open - circle at \(x = 1\) represent this domain.

Step4: Analyze graphs for domain

Looking at the graphs in question 11, we see that the graph with a closed - circle at \(x=-6\) and an open - circle at \(x = 1\) is the correct one.

Answer:

1. B. \(-5 < y\leq1\)
2. (The graph with a closed - circle at \(x=-6\) and an open - circle at \(x = 1\), which is not labeled in the options you provided in text form but can be visually identified from the given set of graphs))