Respuesta :
You would select the points with the x-values -3 and 2 and use the slope formula:
(-3, -36) and (2,4)
[tex]m= \frac{y_2-y_1}{x_2-x_1} [/tex] ← slope formula
x1 = -3 y1 = -36 and x2 = 2 y2 = 4
[tex]m= \frac{4--36}{2--3} = \frac{40}{5} =8[/tex]
(-3, -36) and (2,4)
[tex]m= \frac{y_2-y_1}{x_2-x_1} [/tex] ← slope formula
x1 = -3 y1 = -36 and x2 = 2 y2 = 4
[tex]m= \frac{4--36}{2--3} = \frac{40}{5} =8[/tex]
Answer:
Option C
Step-by-step explanation:
The average rate of change of f(x) will be represented by the slope between the given interval [-3, 2]
For x = -3 value of f(x) = -36
and for x = 2 value of f(x) = 4
So there are two points ( -3, -36 ) and ( 2, 4 ) through which function is defined.
Therefore, from the formula of slope = [tex]\frac{y-y'}{x-x'}[/tex]
slope = [tex]\frac{4+36}{2+3}[/tex]
= slope = [tex]\frac{40}{5}[/tex]
= 8
Option C is the answer.
