The figure below shows the graph of a quadratic 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 & 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 Assume that a > 0 for this quadratic function. 2. 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 6 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 L L+E 0 L 5 -10 a a limf(x) = L. x→a a + d 5 10

The figure below shows the graph of a quadratic 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 & 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 Assume that a > 0 for this quadratic function. 2. 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 6 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 L L+E 0 L 5 -10 a a limf(x) = L. x→a a + d 5 10

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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