Given the following quadratic functions: g ( x ) = − x 2 − x + 6 g(x)=−x 2 −x+6 and n ( x ) , n(x), shown in the table below. Which statement about these functions is true? x x n ( x ) n(x) − 3 −3 − 7 −7 − 2 −2 0 0 − 1 −1 5 5 0 0 8 8 1 1 9 9 2 2 8 8 3 3 5 5 4 4 0 0 5 5 − 7 −7 Over the interval -1≤x≤1, the average rate of change for n(x) is less than that for g(x) The y-intercept of g(x) is greater than the y-intercept for n(x) The function g(x) has a greater maximum value than n(x) The sum of the roots of n(x)=0 is greater than the sum of the roots of g(x)