What is the rate of change for the interval between 0 and 2 for the quadratic equation f of x is equal to 2 x squared plus x minus 3 represented in the table?

The rate of change from x = 0 to x = 2 is the change in the function values divided by the change in x. The equation gives f(0) = −3 and f(2) = 2(2²) + 2 − 3 = 7. Thus, the rate of change is (7 − (−3))/(2 − 0) = 10/2 = 5, so the correct choice is 5.

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