asked 64.1k views
4 votes
The mapping diagram represents a relation where x represents the independent variable and y represents the

dependent variable.
x-values
-4
-2
0
3
y-values
-5
-4
-3
-2
-1
Is the relation a function? Explain.
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input
O Yes, because for each input there is exactly one output
O Yes, because for each output there is exactly one input

2 Answers

2 votes
C is the correct answer
answered
User Stu Thompson
by
8.8k points
4 votes

Answer: Option C is correct, Yes, because for each input there is exactly one outputWhat is a function?A relation is a function if it has only One y-value for each x-value.To determine whether the relation is a function or not, we need to check whether each input in the domain (the x values) is paired with exactly one output in the range (the y values).The input value of -3 is paired with the output value of 0The input value of -1 is paired with the output value of 2The input value of 1 is paired with the output value of 0The input value of 3 is paired with the output value of 2The input value of 5 is paired with the output value of 5Since each input in the domain is paired with exactly one output in the range, the relation is a function.Therefore, the correct answer is: Yes, because for each input there is exactly one output.

Explanation:

answered
User Alex Shkor
by
8.4k points

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