en the function ƒ defined by the arrow diagram below: What is the domain? a • b. y C• What is the co-domain? d

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Discrete Structure Math

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 \( x \)?
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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