The figure below shows the graph of a linear function, f(x), whose limit at an unspecified x-coordinate evaluates to L (shown as a red point on the y-axis). A positive value for e has been chosen. Complete the following tasks: 1. Adjust the value of a by sliding the purple movable point to obtain the approximate x-coordinate at which the limit of the function evaluates to L. In other words, find the value of a such that limf(x) = L. Adjust the value of 8 by sliding the orange movable points to obtain an approximate interval of x such that if 0 < x-al < 8, then [f(x) - L| < e. Note that this assessment does not require you to obtain exact measures of a and 8 since the exact form of f(x) is not given. Instead, you will use the graph to approximate a and 8 in a way that agrees with your understanding of the formal epsilon-delta definition of the limit. Provide your answer below: -10 RESET -5 + 10 Z+e L 73 E 5 0 -5 -10 1 5 10

The figure below shows the graph of a linear function, f(x), whose limit at an unspecified x-coordinate evaluates to L (shown as a red point on the y-axis). A positive value for e has been chosen. Complete the following tasks: 1. Adjust the value of a by sliding the purple movable point to obtain the approximate x-coordinate at which the limit of the function evaluates to L. In other words, find the value of a such that limf(x) = L. Adjust the value of 8 by sliding the orange movable points to obtain an approximate interval of x such that if 0 < x-al < 8, then [f(x) - L| < e. Note that this assessment does not require you to obtain exact measures of a and 8 since the exact form of f(x) is not given. Instead, you will use the graph to approximate a and 8 in a way that agrees with your understanding of the formal epsilon-delta definition of the limit. Provide your answer below: -10 RESET -5 + 10 Z+e L 73 E 5 0 -5 -10 1 5 10

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

See similar textbooks