CL-Math Average Rate of Change, Piece-wise defined functions How does the slope of the line for each question (a)-(d) changes as you are closing the gap? What prediction can you make about slope of a line passing through two points and average rate of change of a function on an interval defined by the same two points? A table is provided below to summarize your observation. f(x) = 2x² +2: Interval [a, b] On [0, 2] On [0, 1] On [0,.5] Worksheet 6 On [0, x] f(b) f(a) Average Rate of Change f(b) - f(a) b-a (-21212+2)-1-2101²+20 (2)-10)=4 (2141421-1211122) (1)-10) Slope of the line = 2 (21.5)2+2)-(2/0)2+2) 1.57-101 =1 (26x12 +21-12101272) (x)-10) = 2X function f(x) = x. Now can you rewrite the function f(x)

CL-Math Average Rate of Change, Piece-wise defined functions How does the slope of the line for each question (a)-(d) changes as you are closing the gap? What prediction can you make about slope of a line passing through two points and average rate of change of a function on an interval defined by the same two points? A table is provided below to summarize your observation. f(x) = 2x² +2: Interval [a, b] On [0, 2] On [0, 1] On [0,.5] Worksheet 6 On [0, x] f(b) f(a) Average Rate of Change f(b) - f(a) b-a (-21212+2)-1-2101²+20 (2)-10)=4 (2141421-1211122) (1)-10) Slope of the line = 2 (21.5)2+2)-(2/0)2+2) 1.57-101 =1 (26x12 +21-12101272) (x)-10) = 2X function f(x) = x. Now can you rewrite the function f(x)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section: Chapter Questions

Problem 70E: Average Rate of change A fucntion f is given. (a) Find the average rate of change of f between x=0...

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