We won't have a function if for same value of x in (x,y) we get different values y.
So first step: figure out k so that the first coordinate (x) is the same:
3k-4=4k | solve for k
k = -4
no check the values y for the elements of the relation
x = 3k-4 = -12-4=-16
so at -16 we get (-16,16) and (-16, 32), which mean for k=-4 the relation is not a function.
Let me know if you have any questions.
Answer:

Step-by-step explanation:
The type of function that best models the data in the table is the quadratic function
<h3>How to determine the function type?</h3>
The table of values is represented as:
x: 4 6 8 10 12
y : 118 142 150 142 118
From the above table, we can see that:
- The y values increase from 118 to 150
- The y values then decrease to 118
- The x values increase
This is only possible in a quadratic function
Hence, the type of function that best models the data in the table is the quadratic function
Read more about quadratic function at:
brainly.com/question/1214333
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