Questions: Is the displayed graph the graph of a polynomial function?

Transcript text: Is the displayed graph the graph of a polynomial function?

Solution

Solution Steps

Step 1: Analyze the Graph

Examine the given graph to determine its characteristics. The graph appears to have a vertical asymptote and does not extend smoothly to infinity in both directions.

Step 2: Identify Polynomial Function Characteristics

Recall that polynomial functions are continuous and smooth, with no breaks, holes, or vertical asymptotes. They extend to infinity in both directions without any abrupt changes.

Step 3: Compare Graph to Polynomial Characteristics

Compare the given graph to the characteristics of polynomial functions. The presence of a vertical asymptote indicates that the graph is not continuous and smooth, which is a key feature of polynomial functions.

Final Answer

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