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#1 is this increasing or decreasing rate * | x | -2 | 0 | 2 | 4 | | f(x…

Question

#1 is this increasing or decreasing rate *

x-2024
f(x)1161-4

○ m=3
○ m=3.5
○ m=2.5
○ m=2
○ m=-2.5

Explanation:

Step1: Identificar dos puntos

Tomamos dos puntos, por ejemplo, \((x_1, f(x_1)) = (-2, 11)\) y \((x_2, f(x_2)) = (0, 6)\).

Step2: Calcular la pendiente (rate)

La fórmula de la pendiente \(m\) es \(m=\frac{f(x_2)-f(x_1)}{x_2 - x_1}\). Sustituyendo los valores: \(m=\frac{6 - 11}{0 - (-2)}=\frac{-5}{2}=-2.5\).

Answer:

M=-2.5