csat-suneung 2012 Q19

csat-suneung · South-Korea · csat__math-humanities 4 marks Indefinite & Definite Integrals Definite Integral Evaluation (Computational)
A quadratic function $f ( x )$ satisfies $f ( 0 ) = - 1$ and
$$\int _ { - 1 } ^ { 1 } f ( x ) d x = \int _ { 0 } ^ { 1 } f ( x ) d x = \int _ { - 1 } ^ { 0 } f ( x ) d x$$
What is the value of $f ( 2 )$? [4 points]
(1) 11
(2) 10
(3) 9
(4) 8
(5) 7
A quadratic function $f ( x )$ satisfies $f ( 0 ) = - 1$ and

$$\int _ { - 1 } ^ { 1 } f ( x ) d x = \int _ { 0 } ^ { 1 } f ( x ) d x = \int _ { - 1 } ^ { 0 } f ( x ) d x$$

What is the value of $f ( 2 )$? [4 points]\\
(1) 11\\
(2) 10\\
(3) 9\\
(4) 8\\
(5) 7