which could be the entire interval over which the function, f(x), is positive?\n(-∞, 1)\n(-2, 1)\n(-∞…

which could be the entire interval over which the function, f(x), is positive?\n(-∞, 1)\n(-2, 1)\n(-∞, 0)\n(1, 4)\n\nx\tf(x)\n-3\t-2\n-2\t0\n-1\t2\n0\t2\n1\t0\n2\t-8\n3\t-10\n4\t-20

which could be the entire interval over which the function, f(x), is positive?\n(-∞, 1)\n(-2, 1)\n(-∞, 0)\n(1, 4)\n\nx\tf(x)\n-3\t-2\n-2\t0\n-1\t2\n0\t2\n1\t0\n2\t-8\n3\t-10\n4\t-20

Answer

Explanation:

Step1: Check function values

We look at the table to find where (f(x)>0). We see (f(-1) = 2) and (f(0)=2), and (f(x)) is non - positive for (x=-3,-2,1,2,3,4).

Step2: Analyze intervals

The function is positive for (x = - 1) and (x = 0). The interval that contains these values and no non - positive values from the table among the given options is ((-2,1)).

Answer:

B. ((-2,1))