which statement is true about the graphed function?   f(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).f(x)  > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).f(x)  < 0 over the intervals (-0.7, 0.76) and (2.5,  ∞).f(x)  > 0 over the intervals (-0.7, 0.76) and (0.76,  ∞)

Option A.

Step-by-step explanation:

Given graph represents the function F(x).

If the graph of F(x) is below the x-axis then F(x)<0.

If the graph of F(x) is above the x-axis then F(x)>0.

The graph of F(x) intersect the x-axis at -0.7, 0.76 and 2.5.

From the given graph it is clear that

F(x)<0 over the interval (-∞,-0.7).

F(x)>0 over the interval (-0.7,0.76).

F(x)<0 over the interval (0.76,2.5).

F(x)>0 over the interval (2.5,∞).

Since F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5), therefore, the correct option is A.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18