Answer:
The average rate of change of f(x) from x = a to x = a + h is -1
Step-by-step explanation:
Average rate of the function f(x) over [a, b] is given by:
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Given the function:
[tex]f(x) = 3-x[/tex]
At x=a
f(a) = 3-a
At x = a+h
then;
f(a+h) = 3-(a+h) = 3-a-h
Using the formula for average rate of function:
[tex]A(x) = \frac{f(x+h)-f(x)}{x+h-x}[/tex]
Substitute the given values we have;
[tex]A(x) = \frac{3-a-h-(3-a)}{x+h-x}[/tex]
Simplify:
[tex]A(x) = \frac{3-a-h-3+a}{h}[/tex]
or
[tex]A(x) = \frac{-h}{h} = -1[/tex]
Therefore, the average rate of change of f(x) from x = a to x = a + h is, -1
Answer: on usatestprep the answer is c.
Step-by-step explanation:
[tex]\frac{-1}{\sqrt{a} +\sqrt{a+h} }[/tex]
