Question

The quadratic functions f(x) and g(x) are described as follows: f(x) = −4x2 + 5 x g(x) 0 0 1 1 2 5 3 1 4 0 Which of the following statements best compares the maximum value of the 2 functions?
It is the same for both functions.
f(x) has a greater maximum value than g(x).
g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.

Answer 1

The equation describes a function whose maximum value is 5. The data set describes a function whose maximum value is also 5. Comparing the maximum values, we must conclude ...

... It is the same for both functions.

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Please note that the premise is that g(x) is a quadratic function. It is definitely NOT a quadratic function in the usual sense of the term.