Question

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.

Answer 1

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

Answer 2

The function from the above scenario that has a larger maximum is function 1.

What is the function about?

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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