Answer:
The average rate of change of the function for the interval [-4, 0] is [tex]\frac{3}{4}[/tex] ⇒ A
Step-by-step explanation:
The average rate of change of the function is the slope of the line that represents the function, m = Δy/Δx, where
From the given figure
→ The values of x in the interval [-4, 0] are -4 and 0
∵ The point (-4, 0) and (0, 3) lie on the line
∴ x1 = -4 and x2 = 0
∴ x2 = 0 and y2 = 3
∵ Δx = 0 - (-4) = 0 + 4 = 4
∵ Δy = 3 - 0 = 3
→ By using the rule of the slope above
∴ m = [tex]\frac{3}{4}[/tex]
∵ The average rate of change of the function = the slope of the line
∴ The average rate of change of the function for the interval [-4, 0] is [tex]\frac{3}{4}[/tex]
