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determine whether each function shown in the coordinate plane is linear…

Question

determine whether each function shown in the coordinate plane is linear or non - linear. linear function non - linear function

Explanation:

Step1: Recall linear function definition

A linear function's graph is a straight line (has constant slope, follows \(y = mx + b\) form). A non - linear function's graph is curved (slope changes, not in \(y=mx + b\) form).

Step2: Analyze the given graph

The graph at the bottom (the one to be classified) is a curved line (has bends, not a straight line). So it does not satisfy the linear function's graph property.

Answer:

The function with the curved graph (the one below the two boxes) should be placed in the "Non - Linear Function" box.