Answer:
The Average rate of change of function f(x)
A(x) = 3
Step-by-step explanation:
Step(i):-
Given function f(x) = x²-2
Given values x = a = -1 and x = b =4
The Average rate of change of function f(x)
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Given function f(x) = x²-2
f(a) =f(-1) = (-1)²-2 = 1-2 = -1
f(b) = f(4) = (4)²-2 = 16-2 = 14
Step(ii):-
The Average rate of change of function f(x)
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
[tex]A(x) = \frac{14-(-1)}{4-(-1)} = \frac{14+1}{4+1} = \frac{15}{5} =3[/tex]
Final answer:-
The Average rate of change of function f(x)
A(x) = 3
