Sketch the graph of f. Then identify the values of c for which lim f(x) exists. X→ C f(x) = 5.6 - 0.8x, 4, Step 1 To sketch the graph of f, first consider f(x) = x² for x < 2 by constructing a table of values. X f(x) 3 f(x) 3.2 x ≤ 2 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Sketch the graph of f. Then identify the values of c for which lim f(x) exists.
X → C
f(x)
x²
- f...
=
4,
5.6 - 0.8x,
Step 1
To sketch the graph of f, first consider f(x)
X
f(x)
X 3
xx
X ≤ 2
2<x<7
x ≥ 7
-2
4 4
Step 2
Now, construct a table of values for f(x)
f(x) 3.2
−1
1
4
=
=
0
x² for x ≤ 2 by constructing a table of values.
5.6
1
4
4.5
2
4
0.8x for 2 < x < 7 by substituting values of x in the definition of f(x).
5
6
0.8
Transcribed Image Text:Sketch the graph of f. Then identify the values of c for which lim f(x) exists. X → C f(x) x² - f... = 4, 5.6 - 0.8x, Step 1 To sketch the graph of f, first consider f(x) X f(x) X 3 xx X ≤ 2 2<x<7 x ≥ 7 -2 4 4 Step 2 Now, construct a table of values for f(x) f(x) 3.2 −1 1 4 = = 0 x² for x ≤ 2 by constructing a table of values. 5.6 1 4 4.5 2 4 0.8x for 2 < x < 7 by substituting values of x in the definition of f(x). 5 6 0.8
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