according to the table, which ordered pair is a local maximum of the function, f(x)? -2 0 -1 45 0 64 1 45 2…

according to the table, which ordered pair is a local maximum of the function, f(x)? -2 0 -1 45 0 64 1 45 2 0 3 -35 4 0 5 189 6 640 (0, 64) (3, -35) (5, 189) (2, 0)

according to the table, which ordered pair is a local maximum of the function, f(x)? -2 0 -1 45 0 64 1 45 2 0 3 -35 4 0 5 189 6 640 (0, 64) (3, -35) (5, 189) (2, 0)

Answer

Explanation:

Step1: Understand local maximum

A local maximum is a point where the function value is greater than the values at nearby points.

Step2: Check each point

For $x = - 2,f(-2)=0$; for $x=-1,f(-1) = 45$; for $x = 0,f(0)=64$; for $x = 1,f(1)=45$; for $x = 2,f(2)=0$; for $x = 3,f(3)=-35$; for $x = 4,f(4)=0$; for $x = 5,f(5)=189$; for $x = 6,f(6)=640$. The value of $f(x)$ at $x = 0$ is 64 and it is greater than the values of $f(x)$ at $x=-1$ and $x = 1$.

Answer:

(0, 64)