4) Compute the average rate of change of f(x) = -2 x² + 3x - 1...

Question

Question

math algebra

Answer 1

Answer #1

ANSWER :

4.

f(x) = - 2x^2 + 3x - 1

Average rate of change on interval (-2, 6)

= [f(6) - f(-2)] / (6 - (-2))

= [ (-2(6)^2 + 3(6) -1) - (-2(-2)^2 + 3(-2) -1)] / 8

= [- 55 +15] / 8

= - 5 (ANSWER).

answered by: Tulsiram Garg

Answer 2

Answer #2

Answer 3

Similar Homework Help Questions

4. (a) Find the average rate of change of f(x) = 3x” – 2x+3 on [-2,...

4. (a) Find the average rate of change of f(x) = 3x” – 2x+3 on [-2, 1]. (b) Write the equation of the secant line containing the points (-2, f(-2) and (1, f(1)).
Find the average rate of change of f(x)=3x^2-2, from 2 to 4.

Find the average rate of change of f(x)=3x^2-2, from 2 to 4.
Find the average rate of change for the following function. f(x) = 4x3 - 5x2 +6...

Find the average rate of change for the following function. f(x) = 4x3 - 5x2 +6 between x = -2 and x = 1 The average rate of change for f(x) over the interval - 2 to 1 is (Type an integer or a simplified fraction.)

(5 points) For the function y = 5x2: (a) Find the average rate of change of...

(5 points) For the function y = 5x2: (a) Find the average rate of change of y with respect to x over the interval [5,7). (b) Find the instantaneous rate of change of y with respect to x at the value x = 5. Average Rate of Change: | Instantaneous Rate of Change at x = 5: (5 points) Let f(x) = 3x + 3x + 2 Use the limit definition of the derivative to calculate the derivative off: f'(x)...
find the average rate of change for the following function. f(x)=2x^3-5x^2+7 between x=-2 and x=1. The...

find the average rate of change for the following function. f(x)=2x^3-5x^2+7 between x=-2 and x=1. The average rate of change for f(x) over the interval -2 to 1 is ___. (Type an integer or a simplified fraction.)
Find the average rate of change for the following function. f(x) = 4x3 - 2x +...

Find the average rate of change for the following function. f(x) = 4x3 - 2x + 7 between x= -1 and x = 2 . The average rate of change for f(x) over the interval - 1 to 2 is (Type an integer or a simplified fraction.)

2.2/ 14 Find the average rate of change of the function f(x)=f(x)= 1x2−5x−41x2-5x-4, from x=0 to...

2.2/ 14 Find the average rate of change of the function f(x)=f(x)= 1x2−5x−41x2-5x-4, from x=0 to x=4. Note, the directions are equivalent to "Find the average rate of change over the interval [0,4]". Average rate of change =
True or False? 1. If f(x) sin x then the average rate of change of f...

True or False? 1. If f(x) sin x then the average rate of change of f on the interval (1, ) is - 2. If g(x) = 5x – 7 then the average rate of change of g on 13, 317] is 5.
7) Find the average rate of change between x = -6 and x = 0. 8)...

7) Find the average rate of change between x = -6 and x = 0. 8) Find the average rate of change over the interval (-2, 2]. 9) Find the average rate of change between x = 2 and x = 6. 10) Find the average rate of change over the interval (-4, 2).

Find the average rate of change for the following function. f(x) = 4x3 – 5x2 +...

Find the average rate of change for the following function. f(x) = 4x3 – 5x2 + 7 between x = - 2 and x = 3 The average rate of change for f(x) over the interval - 2 to 3 is (Type an integer or a simplified fraction.)