algebra 1

posted by name

f(x) = 10(2)^x

Is this function's rate of change over the interval -1 ≤ x ≤ 2 greater or less than that of the linear function g(x)=10x + 7?

--

What is this problem asking me to do and how do I do it?

  1. Reiny

    I would interpret it this way,

    Average rate of change for first function:
    f(-1) = 10(1/2) = 5
    f(2) = 10(2^2) = 40
    avg rate of change = (40 - 5)/(2-(-1)) = 35/3 or appr 11.666...

    rate of change of second function y = 10x+7 is constant at 10

    so what do you think?

Respond to this Question

First Name

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. 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 …
  3. 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 …
  4. instantaneous rate of change problem

    Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, …
  5. Function: Rate of Change

    Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, …
  6. function rate of change

    Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, …
  7. College algebra!

    For the linear function f(x) = 5x + 3 (a) Determine the slope and y-intercept (b) Use the slope and y-intercept to graph the linear function. (c) Determine the average rate of change of the function (d) Determine whether the linear …
  8. Algebra

    Describe the differences between a linear function and an exponential function. my answer is Linear functions have a constant rate of change while an exponential function has a constant finite ratio.
  9. math

    Determine which function has the greater rate of change in questions 1−3 1. x y ------- -1 0 0 1 1 2 2 3 (1 point) The rates of change are equal. The graph has a greater rate of change.*** The table has a greater rate of change. …
  10. Calculus

    If f is a function such that [(f(b)-f(a))/(b-a)]=2 , then which of the following statements must be true?

More Similar Questions