How do you find the maximum value of #y = −2x^2 − 3x + 2#?
The maximum value of the function is
We can tell two things about this function before we begin approaching the problem:
2) The polynomial is of degree two, meaning it changes direction only once. Thus, the only point at which is changes direction must also be our maximum. In a higher degree polynomial, it might be necessary to compute multiple local maxima and determine which is the largest.
To find the maximum, we first find the
This point must be our local maximum. The value at that point is determined by calculating the value of the function at that point: