Explain why this mapping is or is not a function
0(pointing to 1) 1
1(pointing to 2) 2
2(pointing to 1)
3(pointing to 2)
4(pointing to 1)
A. This is a function because every input maps to only one output.
B. This is a function because every output maps to only one input.
C. This is not a function because more than one input maps to an output.
D. This is not a function because more than one output maps to an input.***
Am I right?
nope.
Each input must map to exactly one output. So, A.
Oh ok, Thank you!
Yes, you are correct. The correct answer is D. This is not a function because more than one output maps to an input.
To determine if a mapping is a function, you need to ensure that each input value (also known as the domain) is associated with only one output value (also known as the range).
In this case, the input values 0, 1, 2, 3, and 4 are associated with the output values 1, 2, 1, 2, and 1, respectively. However, the output value 1 is associated with multiple input values (0, 2, and 4), violating the definition of a function.
Therefore, option D is correct in stating that this mapping is not a function because more than one output maps to an input.