Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Discrete Structure Math
Transcribed Image Text:8. Given the function \( f \) defined by the arrow diagram below:
Diagram Explanation:
There are two sets represented by two ovals. The first set (domain) contains the elements: \( a, b, c, \) and \( d \). The second set (co-domain) contains the elements: \( x, y, \) and \( z \). Arrows indicate mappings of elements from the domain to the co-domain:
- \( a \) maps to \( x \)
- \( b \) maps to \( x \)
- \( c \) maps to \( z \)
- \( d \) maps to \( z \)
a. What is the domain?
b. What is the co-domain?
c. What is the range?
d. What is \( f(a) \)?
e. What is the pre-image of \( x \)?
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