To determine if a set of ordered pairs defines a function, we need to check if each input (the first element of each ordered pair) is associated with exactly one output (the second element of the ordered pair).
Let's analyze each set:
A. {(v,j),(v,v),(v,y),(v,k)}
In this set, the input "v" appears in multiple ordered pairs:
- (v, j)
- (v, v)
- (v, y)
- (v, k)
Since "v" is associated with four different outputs (j, v, y, and k), this set does not define a function.
Conclusion for A: Not a function.
B. {(-7,w),(8,h),(-4,e),(0,d)}
In this set, all the inputs are distinct:
- -7
- 8
- -4
- 0
Each input is associated with exactly one output:
- -7 -> w
- 8 -> h
- -4 -> e
- 0 -> d
Since no input value is repeated, this set defines a function.
Conclusion for B: Is a function.
To summarize:
- A: Not a function
- B: Is a function
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