Questions: Consider the following Use the Vertical Line Test to determine whether the curve is the graph of a function of x. Yes, the curve is a function of x. No, the curve is not a function of x. If the curve is a function, state the domain and range. (Enter your answers using interval notation. If the curve is not a function enter NONE.) domain range

Consider the following Use the Vertical Line Test to determine whether the curve is the graph of a function of x. Yes, the curve is a function of x. No, the curve is not a function of x. If the curve is a function, state the domain and range. (Enter your answers using interval notation. If the curve is not a function enter NONE.) domain range
Transcript text: webassign.net 2.1 Prelect-Functions DETAILS MYNOTES W 2.2 Hmwk-Graphs of Functions - Fall 2024 - MATH-105-007-Pre-Calcu SPRECALC7 2.2.053.MI. ASKYOURTEACH Consider the following Use the Vertical Line Test to determine whether the curve is the graph of a function of $x$. Yes, the curve is a function of $x$. No, the curve is not a function of $x$. If the curve is a function, state the domain and range. (Enter your answers using interval notation. If the curve is not a function enter NONE.) domain $\square$ range $\square$ Need Help? Readl Watchlt Master
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Solution

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Solution Steps

Step 1: Determine if the Curve is a Function

To determine if the curve is a function, we use the Vertical Line Test. This test states that if a vertical line intersects the curve at more than one point, then the curve is not a function.

Step 2: Apply the Vertical Line Test

Examine the graph and imagine drawing vertical lines through various points on the x-axis. If any vertical line intersects the curve at more than one point, the curve is not a function.

Step 3: Analyze the Graph

From the graph, it is clear that no vertical line intersects the curve at more than one point. Therefore, the curve passes the Vertical Line Test and is a function.

Final Answer

The curve is a function.

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