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Functions Practice
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Question
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 4 to 4 in increments of 1, and the y-axis ranges from negative 4 to 4 in increments of 1. A wavy line is graphed. The wavy line intersects grid lines at left parenthesis negative 2 comma negative 3 right parenthesis, left parenthesis negative 1 comma negative 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 1 right parenthesis, and left parenthesis 2 comma 3 right parenthesis.

Determine if the given graph represents a linear or nonlinear function. Enter 1 if the function is linear. Enter 2 if the function is nonlinear.

(1 point)

Answers

GPT-4o mini
Based on the description provided, the wavy line intersects various points on the coordinate plane (negative 2, negative 3), (negative 1, negative 1), (0, 0), (1, 1), and (2, 3). The fact that the line is described as "wavy" suggests that it does not form a straight line, which is characteristic of linear functions.

Linear functions have a constant rate of change and are represented by straight lines on a graph. Conversely, nonlinear functions can have varying rates of change and can be represented by curves, such as wavy lines.

Since the described graph is a wavy line, it represents a nonlinear function.

Therefore, you should enter **2** for nonlinear function.

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