Let's solve the problem step by step: --- **Step 1: Analyze the graph at \( x = 0 \).** - Looking at the graph, as \( x \) approaches 0 from both sides, the lines come together at the same \( y \)-value. - However, there is a **hole** (open circle) at \( x = 0 \), which means the function is **not defined** at \( x = 0 \). **Explanation:** The **limit exists** at \( x = 0 \) because both sides approach the same value, but the function itself is **not defined** at that point. --- **Step 2: Answer the question:** The multiple-choice options are: 1. The limit does not exist there. 2. The function is not defined there. 3. The limit there is not equal to the function value there. The correct answer is: **The function is not defined there.** **Explanation:** The discontinuity is caused because there is no function value at \( x = 0 \), even though the limit exists. --- **Final Answer:** **The function is not defined there.**