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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 lim f(x) = L. 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 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 -5 0 -5 L+E L L-40 a L a + d -10 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 lim f(x) = L. 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 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 -5 0 -5 L+E L L-40 a L a + d -10 5 10

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Please write the numbers so I know where to do the graph 

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 lim f(x) = L. 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 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 -5 0 -5 L+E L L-80 a a a +8 -10 5 10
Transcribed Image Text: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 lim f(x) = L. 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 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 -5 0 -5 L+E L L-80 a a a +8 -10 5 10
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