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Suppose that the quadratic function f(x)...

Suppose that the quadratic function `f(x) = ax^(2) + bx +c` is non-negative on the interval [-1,1] . Then, the area under tha graph of `f` over the interval [-1,1] and the X - axis is given by the formula

A

`A=f(-1) +f(1)`

B

`A=f(-(1)/(2))+f((1)/(2))`

C

`A=(1)/(2)[f(-1)+2f(0)+f(1)]`

D

`A=(1)/(3)[ f(-1)+ 4f (0)+f (1)]`

Text Solution

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The correct Answer is:
D
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