The maximum value of the function is 81.
To find the maximum value of the function, we can use the vertex formula:
The x-coordinate of the vertex is given by:
x = -b/2a
where a = -1 and b = 12 in this case.
x = -12/2(-1)
x = 6
To find the y-coordinate of the vertex, we simply plug in x = 6 into the function:
g(6) = -(6)^2 + 12(6) + 45 = 81
Therefore, the maximum value of the function is 81.
What is the maximum value of the function?
g(x)=−x2+12x+45
Responses
-99
81
9
189
1 answer
1 answer