Respuesta :
Answer: D. No, because an x-value is repeated
That repeated x value is x = 0 due to the two points (0,3) and (0,0) being part of the same function. The input x = 0 maps to more than one output y = 3 and y = 0 at the same time. A function is only possible if any input x leads to exactly one output y. This is only if that x value is in the domain.
Visually, plotting (0,3) and (0,0) together shows that this graph does not pass the vertical line test. It is possible to draw a vertical line through more than one point on this graph. So this is a quick visual way to see that we don't have a function.
An ordered pair may or may not represent a function.
The true statement is (d) No, because an x-value is repeated
The ordered pairs are given as:
[tex]\mathbf{(x,y) = (0, 3), (3, 2), (2, 1), (0, 0)}[/tex]
For an ordered pair to be a function, no x-value must be repeated for different y-values.
From the given ordered pair, 0 is repeated for y-values 3 and 0.
This means that, the ordered pair is not a function.
Hence, the true statement is (d)
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