2. The functions sketched in Figure 3 have domain and codomain both equal to [0,1]. (a) Which of these functions are one-to-one? (b) Which of these functions map [0, 1] onto [0, 1]? (c) Which of these functions are one-to-one correspon- dences?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. The funcuons sketched in Figure 3 have domain and
codomain both equal to [0,1].
(a) Which of these functions are one-to-one?
(b) Which of these functions map [0, 1] onto [0, 1]?
(c) Which of these functions are one-to-one correspon-
dences?
Transcribed Image Text:2. The funcuons sketched in Figure 3 have domain and codomain both equal to [0,1]. (a) Which of these functions are one-to-one? (b) Which of these functions map [0, 1] onto [0, 1]? (c) Which of these functions are one-to-one correspon- dences?
Figure 3 ►
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Transcribed Image Text:Figure 3 ► 9.77 MY fi fs J. h V VM L K 1 fg $6 f10 f3 1 h fi f4 1 fs $12 1
Expert Solution
Step 1

2. Given are functions in figure 3 that have domain and codomain both equal to [0, 1].

 

(a) To Find: Which of the functions are one-one.

 

(b) To Find: Which of the functions map [0, 1] onto [0, 1].

 

(c) To Find: Which of the functions are one-to-one correspondences.

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