Question

Plz answer this asap first answer gets brainliest

Answer 1

Answer:

g(x) has the greater max:  11 versus 6

Step-by-step explanation:

One can readily discern the max value of the graph; it is 6 and occurs at x =1.

Regarding the function g(x) = (-1/2)x^2 + 4x + 3:  Find the vertex, which also represents the max value:

Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:

x = -b/(2a), which here is   x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4

At x = 4, the function (y) value is

g(4) = (-1/2)(4)² + 4(4) + 3, or

g(4) =    -8  +   16 + 3, or 11

This is greater than the max value of the graphed function.