The graphs of 𝑦 = 2𝑥 and 𝑦 = 𝑥2 are shown here:

Question

Identify two major differences in behavior

Answer 1

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.