Answer:
D) 2
The average rate of change of f(x)
A(x) =2
Step-by-step explanation:
Step(i):-
Given that the function f(x) = x² - 3x -10
Given x =a = -5 and y = b = 10
The average rate of change of f(x)
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Step(ii):-
f(x) = x² - 3x -10
f(-5) = (-5)² - 3(-5) -10 = 25+15-10=30
f(10) = (10)² -3(10)-10 = 100 -30 -10 =60
The average rate of change of f(x)
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
[tex]A(x) = \frac{60-30}{10-(-5)}= \frac{30}{15} = 2[/tex]
A(x) =2
