Pregunta
Use the vertical line test to determine if \( y \) is a function of \( x \) in the graph. Which of the following statements is correct? \( y \) is a function of \( x \) \( y \) is not a function of \( x \)
Ask by Frazier Simmons. in the United States
Mar 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( y \) is a function of \( x \).
Solución
1. The vertical line test states that if every vertical line drawn across the graph intersects it at most once, then the graph represents \( y \) as a function of \( x \).
2. Examining the graph, we observe that no vertical line hits the graph more than once.
3. Since the graph passes the vertical line test, the correct statement is that
\[
y \text{ is a function of } x.
\]
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Simplifique esta solución Extra Insights
To determine whether \( y \) is a function of \( x \) using the vertical line test, simply imagine drawing vertical lines through the graph at any point along the \( x \)-axis. If a vertical line crosses the graph at more than one point, then \( y \) is not a function of \( x \). If it crosses only once, then \( y \) is indeed a function of \( x \). So remember, the secret to the vertical line test is all about those straight-up-and-down lines! Just one intersection means function, while multiple raindrops from the same cloud signal a no-go for functions!
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