Consider the following functions
1 answer:
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I’ve provided both the answer and explanation below! Hope this helps :)
Answer:
A - Not Function
B - Function
C - Function
D - Not Function
E - Function
Step-by-step explanation:
For a relation to be a function, each value of input should have exactly one output. Which means that for one value of x, there should only one value of y. If the relation has repetition of x in its ordered pairs, it means that for one value of x, there are two or more values of y, hence the relation is not a function
(Consult the diagram below)
<h3>A - {(6,12),(3,1),(−1,13),(6,4)} </h3>As x = 6 is being repeat, it means that x=6 has two values of y that are 12 and 4. IT IS NOT A FUNCTION.
<h3>B - {(−1,−2),(−4,−4),(0,−5),(7,−5)} </h3>No repetition of x, IT IS A FUNCTION.
<h3 /><h3>C - {(−5,1),(4,10),(5,10),(6,7)} </h3>No repetition of x, IT IS A FUNCTION.
<h3 /><h3>D - {(−1,4),(1,6),(−1,−2),(0,7)} </h3>As x = -1 is being repeat, it means that x=-1 has two values of y that are 4 and -2. IT IS NOT A FUNCTION.
<h3>E - {(−2,8),(2,1),(−4,8),(7,9)}</h3>No repetition of x, IT IS A FUNCTION.
