Answer:
(4) (-1,6)
Explanation:
f(x) = x² - 3x + 4
1) (0,4) ==>x=0 and f(x)=4
4 = 0² - 3(0) + 4
4 = 0 + 4
4 = 4 ==> true X
2) (1.5,1.75)==> x=1.5 and f(x)=1.75
1.75 = (1.5)² - 3(1.5) + 4
1.75 = 2.25 - 4.5 + 4
1.75 = 2.25 - 0.5
1.75 = 1.75 ==> true X
3) (5,14)
14 = (5)² - 3(5) + 4
14 = 25 - 15 + 4
14 = 10 + 4
14 = 14 ==> true X
4) (-1,6)
6 = (-1)² - 3(-1) + 4
6 = (|-1|)² - (-3) + 4 ==> the square of a negative number is equal to the square
of the absolute value of that number since the square of
a real number is always positive
6 = (1)²+ 3 + 4 ==> subtracting a negative number is equivalent to adding
the positive number
6 = 1 + 3 + 4
6 = 4 + 4
6 = 8 ==> false √√
Hence, the answer is (4) (-1,6).