a. As x approaches -1, f(x) approaches what value on the first table? On the second table? b. Do they approach the same value of f(x)? c. What is the limit of the function?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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3. Complete the following tables of values to investigate
if x < -1
lim ƒ(x)if f(x) :
%3D
X→-1
if x > –1
f(x)
f(x)
-2
-0.1
– 1.5
-0.5
-1.03
-0.85
- 1.003
– 0.995
-1.0003
-0.9995
-1.00003
-0.99995
-1.000003
-0.999995
a. As x approaches -1, f(x) approaches what value on the first table? On the second
а.
table?
b. Do they approach the same value of f(x)?
c. What is the limit of the function?
С.
Transcribed Image Text:3. Complete the following tables of values to investigate if x < -1 lim ƒ(x)if f(x) : %3D X→-1 if x > –1 f(x) f(x) -2 -0.1 – 1.5 -0.5 -1.03 -0.85 - 1.003 – 0.995 -1.0003 -0.9995 -1.00003 -0.99995 -1.000003 -0.999995 a. As x approaches -1, f(x) approaches what value on the first table? On the second а. table? b. Do they approach the same value of f(x)? c. What is the limit of the function? С.
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