Evaluate the given expressions. f(-1) = 1 f(0) = 0 f(1): = 2 X Use technology to duplicate the graphs. Give the technology formula. HINT [See Example 2.] |O (x^2)*(x <= 0) + (3/x)*(x <= 3) (x^2)*(x <= 0) + (3/x)*(x > 0) (x^2)*(x > 0) + (3/x)*(x >= 0) (x^2)*(x > −2) + (3/x)*(x > 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Evaluate the given expressions.
f(-1) = 1
f(0)
f(1):
=
-
0
2
Use technology to duplicate the graphs. Give the technology formula. HINT [See Example 2.]
(x^2)*(x <= 0) + (3/x)*(x <=
<= 3)
(x^2)*(x <= 0) + (3/x)*(x > 0)
(x^2)*(x > 0) + (3/x)*(x >= 0)
(x^2)*(x > -2) + (3/x)*(x > 0)
Transcribed Image Text:Evaluate the given expressions. f(-1) = 1 f(0) f(1): = - 0 2 Use technology to duplicate the graphs. Give the technology formula. HINT [See Example 2.] (x^2)*(x <= 0) + (3/x)*(x <= <= 3) (x^2)*(x <= 0) + (3/x)*(x > 0) (x^2)*(x > 0) + (3/x)*(x >= 0) (x^2)*(x > -2) + (3/x)*(x > 0)
Sketch the graph of the given function.
x²
if -2 < x≤0
3
if 0 < x≤ 3
X
f(x)
=
- 10
-10
-5
-5
f(x)
10h
5
-5
- 10
f(x)
10
5
-5
-10
S
10
10
X
X
- 10
-10
-5
-5
f(x)
10
5
-5
-10
f(x)
10
5
- 10
5
5
10
10
X
X
Transcribed Image Text:Sketch the graph of the given function. x² if -2 < x≤0 3 if 0 < x≤ 3 X f(x) = - 10 -10 -5 -5 f(x) 10h 5 -5 - 10 f(x) 10 5 -5 -10 S 10 10 X X - 10 -10 -5 -5 f(x) 10 5 -5 -10 f(x) 10 5 - 10 5 5 10 10 X X
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