Which is true about the maximum values of the two quadratic functions presented below?

Question

Which is true about the maximum values of the two quadratic functions presented below?

A. n(x) has a greater maximum value.

B. p(x) has a greater maximum value.

C. n(x) and p(x) have the same maximum value.

D. There is not enough information to determine which function has the greater maximum value.

Is the Answer B?

Answer 1

The answer is D. There is not enough information to determine which function has the greater maximum function. This is because you don't know what n(x) actually looks like. It is possible that n(0.5) = -5, in which case it would have the highest maximum value. However, it is also possible that there is no value of n(x) which is greater than the observed maximum at n(1) = -7, in which case p(x) would have the highest maximum value.