Functions 1 and 2 are shown below.. Function 1: f(x) = -4x2 + 6x + 3. Which function has a larger maximum? Type your answer as 1 or 2.
Function 1:
x = - b/ 2 a = 6 /8 = 3/4
f ( 3/4 ) = - 4 9/16 + 6 3/4 + 3 = - 9 /4 + 18 / 4 + 3 = 2.75 + 3 = 5.25
y max = 5.25
Function 2:
y max = 3 ( from a picture )
The 1st function has a larger maximum ( 5.25 > 3 )
Answer: 1
The function from the above scenario that has a larger maximum is function 1.
Note that the first function is;
x = - b/ 2 a = 6 /8 = 3/4
f ( 3/4 ) = - 4 9/16 + 6 3/4 + 3
= - 9 /4 + 18 / 4 + 3
= 2.75 + 3 = 5.25
y max = 5.25
The second Function is:
y max = 3 ( from a picture )
Therefore we can see that the first function has a larger term that is ( 5.25 > 3 ).
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