SOLUTION: Find the average rate of change. f(x)= the square root of 2x from X1=2 to X2=8 I am so confused can you please show the steps please?
Algebra.Com
Question 711793: Find the average rate of change. f(x)= the square root of 2x from X1=2 to X2=8 I am so confused can you please show the steps please?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The average rate of change of a function between two points is the same as the slope of the secant line that passes through the two points. The only difference is the notation of the slope formula. You are probably used to seeing the slope formula as:
where )
and )
are the coordinates of the given points.
But since you have started working with functions, stop thinking of ordered pairs that represent points in the plane as )
. Rather, consider them to be represented as \right))
. That makes your average rate of change formula look like:
\ -\ f(x_2)}{x_1\ -\ x_2})
In your particular case, you need to calculate the value of:
\ -\ f(8)}{2\ -\ 8})
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Find the average rate of change of the function from x1 to x2.
Function (answered by stanbon)
Find the average rate of change of the function from x1 to x2.
f(x) = √2x, from... (answered by Fombitz,ikleyn)
Find the average rate of change of f(x)=x^2-2x. From x1=3 to... (answered by jim_thompson5910)
Find the average rate of change of the function from x1 to x2.
f(x)= 3x from x1 = 0 to (answered by solver91311)
Can you please help me find the rate of change of the function from x1 to x2: f (x)=sqrt( (answered by rothauserc)
The question is, find the average rate of change from f from -2 to 2. What is the... (answered by stanbon)
Let f(x) = sin x.
Find the average rate of change of f from x1 = 5π/4 to x2 =... (answered by Fombitz)
I do not fully understand the average rate of change. My book does not show an example... (answered by tutorcecilia)
Find the average rate of change of the function from x1 to x2.
7) f(x) = -3x2 - x from... (answered by Fombitz)
