Questions: Tell whether a linear or quadratic function would be a more appropriate model for this set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of x^2 should be positive or negative. Would an appropriate model for the graphed data be linear or quadratic?

Tell whether a linear or quadratic function would be a more appropriate model for this set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of x^2 should be positive or negative.

Would an appropriate model for the graphed data be linear or quadratic?
Transcript text: Tell whether a linear or quadratic function would be a more appropriate model for this set of graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, tell whether the coefficient of $x^{2}$ should be positive or negative. Would an appropriate model for the graphed data be linear or quadratic?
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Solution

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Solution Steps

Step 1: Analyze the graph

The graph shows a curve, not a straight line.

Step 2: Determine the appropriate model

Since the graph is curved, a quadratic function is more appropriate than a linear function.

Step 3: Determine the sign of the coefficient of x²

The parabola opens downwards, indicating that the coefficient of x² is negative.

Final Answer:

Quadratic; negative.

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