Final answer:
False, a linear function does not eventually exceed a quadratic function with a positive leading coefficient because the growth rate of the quadratic accelerates while the linear grows at a constant rate.
Step-by-step explanation:
The answer to the student's question about whether a linear function eventually exceeds a quadratic function with a positive leading coefficient is B) False. A linear function, represented by f(x) = mx + b, where m is the slope and b is the y-intercept, grows at a constant rate. On the other hand, a quadratic function, represented by g(x) = ax2 + bx + c, where a, b, and c are constants with a > 0, grows at an increasing rate due to its squared term. Since the growth rate of the quadratic function accelerates unlike the constant rate of change of the linear function, the quadratic will eventually surpass and continue to exceed the linear function.