according to the table, which ordered pair is a local minimum of the function, f(x)?\no (0, 9)\no (4…

according to the table, which ordered pair is a local minimum of the function, f(x)?\no (0, 9)\no (4, 105)\no (-1, 0)\no (2, -15)\n\nx\tf(x)\n-4\t105\n-3\t0\n-2\t-15\n-1\t0\n0\t9\n1\t0\n2\t-15\n3\t0\n4\t105\n5\t384

according to the table, which ordered pair is a local minimum of the function, f(x)?\no (0, 9)\no (4, 105)\no (-1, 0)\no (2, -15)\n\nx\tf(x)\n-4\t105\n-3\t0\n-2\t-15\n-1\t0\n0\t9\n1\t0\n2\t-15\n3\t0\n4\t105\n5\t384

Answer

Explanation:

Step1: Understand local minimum

A local minimum is a point where the function value is less than or equal to the values at nearby points.

Step2: Analyze the table

We check the $f(x)$ - values. At $x = - 2$, $f(-2)=-15$ and at $x = 0$, $f(0) = 9$. Also at $x=2$, $f(2)=-15$. The value of the function at $x = 2$ is less than the values of the function at $x = 1$ ($f(1)=0$) and $x = 3$ ($f(3)=0$).

Answer:

$(2, - 15)$