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The graphs of 𝑦 = 2𝑥 and 𝑦 = 𝑥2 are shown here:
Identify two major differences in behavior

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One major difference in behavior is that the function 𝑦 = 𝑥2 has a minimum value at the vertex (0,0), while the function 𝑦 = 2𝑥 does not have a minimum or maximum value.

Another major difference in behavior is that the function 𝑦 = 𝑥2 is a nonlinear function, meaning that its rate of change is not constant, while the function 𝑦 = 2𝑥 is a linear function, meaning that its rate of change is constant.

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