The average rate of change of f(x) is given by the formula f(7)-f(3)/4 . Over what interval does this formula give the average rate of change for f(x)? The answer choices are A. [4,7] B. [-7,3] C. [3,7] D. [3,4]

Alan Sherman 2022-09-18 Answered
The average rate of change of f(x) is given by the formula f(7)-f(3)/4 . Over what interval does this formula give the average rate of change for f(x)?
The answer choices are
A. [4,7]
B. [-7,3]
C. [3,7]
D. [3,4]
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

anekesanxl
Answered 2022-09-19 Author has 11 answers
Step-by-step explanation:
Average rate of change(A(x)) of f(x) over an interval [a, b] is given by:
A ( x ) = f ( b ) f ( a ) b a
As per the statement:
The average rate of change of f(x) is given by the formula:
A ( x ) = f ( 7 ) f ( 3 ) 4
we can write this as:
A ( x ) = f ( 7 ) f ( 3 ) 7 3
By definition, we have
b = 7 and a = 3
interval = [3, 7]
Therefore, the interval does this formula give the average rate of change for f(x) is, [3,7]

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).
a) with what speed do the entwined foes start to slide acrossthe floor?
b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2020-10-18
Find a least squares solution of Ax=b by constructing and solving the normal equations.
A=[311114],b[111]
x=?
asked 2022-09-20
Teegan likes to play golf. He has budgeted $60 next month for the driving range. It costs him $10.55 for a bucket of balls each time he goes. What is the maximum number of times he can go to the driving range next month?
asked 2022-09-12
At Silver Gym, membership is $45 per month, and personal training sessions are $40 each. At Fit Factor, membership is $75 per month, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
asked 2022-05-07
Solve for s in the equation 6s=1.
asked 2021-09-21
A particle is moving along the curve given by the parametric equations x=1+t, y=1−t. Determine the xy−equation of the trajectory and speed along it.
asked 2022-09-03
Lamar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lamar $5.30 per pound, and type B coffee costs $4.25 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $559.55. How many pounds of type A coffee were used?

New questions