Question

Calculate the average rate of change for the given function, from x = 8 to x = 5.

x : 8,5,-5
f(x) : 0,4,19

Options :
A: negative four thirds
B: four thirds
C: negative three fourths
D: three fourths

Please help will answer a question back.

Answer 1

The correct option is A.

Explanation:

From the given table it is noticed that the function passing through the points (8,0), (5,4) and (-5,19).

The average rate of change from x₁ and x₂ is

`m=(f(x_2)-f(x_1))/(x_2-x_1)`

The average rate of change for the given function, from x = 8 to x = 5 is

`m=(f(5)-f(8))/(5-8)`

`m=(4-0)/(-3)`

`m=-(4)/(3)`

Therefore the option A is correct.