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
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.7: Function Notation
Problem 19E
Related questions
Question
Please write the numbers so I know where to do the graph
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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