Questions: Finding the Domain and Range of a Graph Determine the domain and range for the graph below. Write your answer in interval notation and in set builder form using a compound inequality. Note:To type in the ≤ sign, type <= or use the Math Quill by clicking the yellow arrow. Domain written in interval notation Domain written in set builder form Use a compound inequality Range written in interval notation Range written in set builder form Use a compound inequality y R

Finding the Domain and Range of a Graph
Determine the domain and range for the graph below. Write your answer in interval notation and in set builder form using a compound inequality.

Note:To type in the ≤ sign, type <= or use the Math Quill by clicking the yellow arrow.

Domain written in interval notation   Domain written in set builder form Use a compound inequality

Range written in interval notation     Range written in set builder form Use a compound inequality

  y   R
Transcript text: Finding the Domain and Range of a Graph Determine the domain and range for the graph below. Write your answer in interval notation and in set builder form using a compound inequality. Note:To type in the $\leq$ sign, type <= or use the Math Quill by clicking the yellow arrow. \begin{tabular}{||c||c||} \hline Domain written in interval notation & \begin{tabular}{c} Domain written in set builder form \\ Use a compound inequality \end{tabular} \\ \hline Range written in interval notation & \begin{tabular}{r} Range written in set builder form \\ Use a compound inequality \end{tabular} \\ \hline$\square$ & $\left\{y \left\lvert\, \begin{array}{l}\text { R }\end{array}\right.\right.$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Find the Domain

The domain of a graph is the set of all possible x-values. In this graph, the x-values span from -4 to 2, where -4 is not included and 2 is included.

Interval notation: (-4, 2] Set builder notation: {x | -4 < x ≤ 2}

Step 2: Find the Range

The range of a graph is the set of all possible y-values. In this graph, the y-values span from -3 to 5, where -3 is not included and 5 is included.

Interval notation: (-3, 5] Set builder notation: {y | -3 < y ≤ 5}

Final Answer

Domain: (-4, 2], {x | -4 < x ≤ 2} Range: (-3, 5], {y | -3 < y ≤ 5}

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