Sketch the graph of the given function. y2 if -2 < x < 0 3 if 0 < x < 3 X f(x) = -10 O O -10 -5 -5 f(x) 10 -5 -10 f(x) 10 5 -5 -10 5 5 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

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
Sketch the graph of the given function.
x²
if -2 < x < 0
3
X
f(x)
-10
-10
if 0 < x ≤ 3
-5
-5
f(x)
10
5
-5
-10
f(x)
10
5
сл
-5
- 10
5
10
10
X
X
-10
-10
-5
-5
f(x)
10
LO
-5
-10
f(x)
10
5
-5
-10
5
5
10
10
X
X
Transcribed Image Text:Sketch the graph of the given function. x² if -2 < x < 0 3 X f(x) -10 -10 if 0 < x ≤ 3 -5 -5 f(x) 10 5 -5 -10 f(x) 10 5 сл -5 - 10 5 10 10 X X -10 -10 -5 -5 f(x) 10 LO -5 -10 f(x) 10 5 -5 -10 5 5 10 10 X X
Evaluate the given expressions.
f(-1) =
f(0) =
f(1) =
Use technology to duplicate the graphs. Give the technology formula. HINT [See Example 2.]
O (x^2)*(x <= 0) + (3/x)*(x <= = 3)
O (x^2)*(x <= 0) + (3/x)*(x > 0)
(x^2)*(x > 0) + (3/x)*(x >= 0)
O (x^2)*(x > −2) + (3/x)*(x > 0)
Transcribed Image Text:Evaluate the given expressions. f(-1) = f(0) = f(1) = Use technology to duplicate the graphs. Give the technology formula. HINT [See Example 2.] O (x^2)*(x <= 0) + (3/x)*(x <= = 3) O (x^2)*(x <= 0) + (3/x)*(x > 0) (x^2)*(x > 0) + (3/x)*(x >= 0) O (x^2)*(x > −2) + (3/x)*(x > 0)
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