Compare the functions y = 2x2 and y = 2x. Which of the following statements are true? Check all that apply.

Compare the functions 2x² and 2ˣ at different x-values. At x = 3, the values are 18 and 8, so the exponential function is smaller for some x-values (C). At x = 2, the values are 8 and 4, so it is greater for some x-values (D). For x > 7, 2ˣ stays greater than 2x²; for example, at x = 8 the values are 256 and 128 (E). The functions are not ordered the same way for every x, and a quadratic does not have a common ratio over equal intervals, so A, B, and F are false.

AI-written and checked against the verified answer.