Math

posted by .

For the function, find the average rate of change of f from 1 to x:f(x)-f(1)/x-1
x does not equal 1

f(x) = x3 + x

  • Math -

    avg rate is slope of secant:

    [f(x)-f(1)]/[x-1]
    = [(x^3+x)-(1^3+1)]/[x-1]
    = (x^3+x-2)/(x-1)
    = x^2+x+2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calulus

    Consider the following function. f(t) = 3t2 − 3 (a) Find the average rate of change of the function below over the interval [3, 3.1]. (b) Compare this average rate of change with the instantaneous rates of change at the endpoints …
  2. calculus (rate of change)

    consider the function f(x)=x^2-6x+12 a. find the average rate of change over the interval [-1,3] b. use the definition of the derivative to find f prime(x) c. find the instantaneous rate of change at the point where x=3 d. find the …
  3. calculus

    Given the function: f(x)=x^3-4x^2+6x-3 a) Find the average rate of change of the function on the interval [2,4] b)find the instantaneous rate of change of the function at x=3.
  4. Math

    Verify if question a is correct I calcuated twice now and I am getting 0 as an answer. I don't understand question b a) Examine the function f9x) =2(0.5x-1)^2(x+2)^2. Determine the function's average of change from -2<x<2. I …
  5. Math

    Could someone help me with these questions, I don't know question c) and d) Consider the function f(x) = (0.1x-1)(x+2)^2. a) Determine the function's average rate of change on -2<x<6. Answer; Avg rate of change is -3.2 b) Estimate …
  6. Math~Reinyyy

    Could someone help me with these questions, I don't know question c) and d) Consider the function f(x) = (0.1x-1)(x+2)^2. a) Determine the function's average rate of change on -2<x<6. Answer; Avg rate of change is -3.2 b) Estimate …
  7. Math

    Determine which function has the greater rate of change 1.The rates of change are equal. 2.The graph has a greater rate of change. 3.The table has a greater rate of change. 4.none of the above file:///C:/Users/SCHOOL/Pictures/math.JPG …
  8. Math

    file:///C:/Users/SCHOOL/Pictures/math.JPG Determine which function has the greater rate of change 1.The rates of change are equal. 2.The graph has a greater rate of change. 3.The table has a greater rate of change.*** 4.none of the …
  9. math

    Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept is 4. How much more is the rate of change of function A than the rate of change of function B?
  10. MATH @Damon @ms. Sue

    Given the function f(x) = 2(3)^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. Part B: How many times greater is the average rate of change of Section …

More Similar Questions