If x is real, find the maximum value of the expression -2x^2 + 3x + 5.
Pick: A) 2.145 B) 6.125 C) 8.725 D) 11.885 E) 13.485
This is an equation of a downward facing parabola.   The maximum value is the top point of the parabola.   -2x^2+3x+5 = (-2x+5)(x+1)   The roots are 5/2 and -1.   The maximum value must be when x is halfway between these two points.   x = 0.75   The maximum value is -2(0.75)^2+3(0.75)+5 = 6.125   The answer is 6.125.
<result>B</result>
If x is real, find the maximum value of the expression -2x^2 + 3x + 5.