Math - PreCalc (12th Grade)

The function f(x) = 2x + 1 is defined over the interval [2, 5]. If the interval is divided into n equal parts, what is the value of the function at the right endpoint of the kth rectangle?

A) 2+3k/n
B) 4+3k/n
C) 4+6k/n
D) 5+6k/n
E) 5+3k/n

  1. 👍
  2. 👎
  3. 👁
  1. spread = 5-2 = 3
    if cut into n pieces, each base = 3/n

    endpoint of 1st rectangle = 2 + 3/n
    endpoint of 2nd rectangle = 2 + 2(3/n)
    ...
    endpoint of kth rectangle = 2 + k(3/n)

    = 2 + 3k/n

    f(2+3k/n)
    = 2(2 + 3k/n) + 1
    = 5 +6k/2

    I see you have two other questions above that follow this reasoning.
    Follow the same analytic thinking by setting up a pattern.

    1. 👍
    2. 👎
  2. Why you bully me

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Let f be the function defined by f(x)=2sinx+cosx ? The average rate of change of f over the interval [0,b] is 0.05, where b>0 . Which of the following is an equation that could be used to find the value of b? A) f(b)=0.05 B)

  2. math grade 11

    A quadratic function is defined by f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. what values(s) of the slope of the line would make it a tangent to the parabola.

  3. Calc

    Given function f defined by f(x) = ( 1- x)³. What are all values of c, in the closed interval [0,3], that satisfy the conditions of the Mean Value Theorem?

  4. calculus

    A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3x a. on what interval is f increasing? b. at what value(s) of x does f have a local maxima? c. how many points of inflection does f have? *calculator

  1. AP Calculous

    let f be the function defined by f(x)=3X^5 -5X^3 +2 a) on what interval is f increasing? b) on what interval is the graph of f concave upward? c)Write the equation of each horizontal line tangent to the graph of f

  2. Calc 1

    Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the vertical and horizontal asymptotes. x=? y=? (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval

  3. Calculus

    Let f be a twice-differentiable function defined on the interval -1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the x-axis

  4. Math

    I'm stuck on this problem and I dont know how to even start it... Let f be the function defined by f(x)=2sinx+cosx. The average rate of change of f over the interval [0,b] is 0.05, where b>0. Which of the following is an equation

  1. Calculus

    Let f be the function defined by f(x)=xe^(1-x) for all real numbers x.: a. Find each interval on which f is increasing. b. Find the x-coordinate of each point of inflection of the graph of f

  2. Calculus

    Let f be the function defined by f(x)= x^3 + ax^2 +bx + c and having the following properties. 1. the graph of f has a point of inflection at (0,-2). 2. The average value of f(x) on the closed interval (0,-2) is -3. Determine the

  3. Algebra 1

    Question 9 Examine the graph of f(x) f ( x ) and the table that contains values of g(x). g ( x ) . Curve f of x approaches Y equals negative 7 on the left and positive infinity on the right. It passes through points (0, negative

  4. mathematics

    Using the standard restricted domain for the cotangent function, which of the following best describes the behavior of the inverse cotangent function? -a decreasing function defined in quadrants I and II -a decreasing function

You can view more similar questions or ask a new question.