Subjects algebra

Excluded Value 05A197

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1. **State the problem:** We need to find the excluded value for the function represented by the graph. 2. **Analyze the graph:** The graph shows a reciprocal-shaped curve with a vertical asymptote at $x=0$ and a horizontal asymptote at $y=-5$. 3. **Recall the meaning of excluded values:** Excluded values are values of $x$ that make the function undefined, often where the denominator of a rational function is zero. 4. **Identify the vertical asymptote:** The vertical asymptote at $x=0$ indicates the function is undefined at $x=0$. 5. **Conclusion:** The excluded value for the function is $x=0$ because the function cannot be evaluated there due to division by zero or similar undefined behavior. **Final answer:** $$x=0$$