Which set of ordered pairs in the from of (x,y) does not represent a function of x?
{(1,1.5), (2,1.5), (3,1.5) (4,1.5)}(my guess)
{(0,1.5), (3,2.5), (1,3.3), (1, 4.5)}
{(1,1.5), (-1,1.5), (2,2.5), (-2,2.5)}
{(1,1.5), (-1,-1.5),(2,2.5),(-2,-2.5)}
If two or more points lie on the same vertical line, then you DON'T have a function, so ... look for a set of points that have 2 or more like x's
Your "guess" of A) is incorrect
(In cases like this "guessing" is not a mathematical procedure)
I did t know the answer so I guessed using the knowledge I had. Could you tell me which is correct?
Would it be B then because it has two x values that are same?
Yes, it was the only one that fits the definition, so need to guess.
To determine which set of ordered pairs does not represent a function of x, we need to understand what a function is.
A function is a relation in which each input (value of x) is associated with exactly one output (value of y). In other words, for each x-value, there should be only one y-value.
Let's analyze each set of ordered pairs:
1. {(1,1.5), (2,1.5), (3,1.5), (4,1.5)}:
In this set, all x-values are different, and the corresponding y-values are the same (1.5). Since each x-value is associated with only one y-value, this set does represent a function.
2. {(0,1.5), (3,2.5), (1,3.3), (1,4.5)}:
In this set, there are two ordered pairs with the same x-value of 1, but different y-values. This violates the definition of a function because one x-value (1) is associated with multiple y-values (3.3 and 4.5). Therefore, this set does not represent a function.
3. {(1,1.5), (-1,1.5), (2,2.5), (-2,2.5)}:
In this set, all x-values are different, and each x-value is associated with only one y-value. This set represents a function.
4. {(1,1.5), (-1,-1.5), (2,2.5), (-2,-2.5)}:
In this set, there are two ordered pairs with the same x-value of -1, but different y-values. This violates the definition of a function because one x-value (-1) is associated with multiple y-values (-1.5 and 1.5). Therefore, this set does not represent a function.
From the given sets, the set that does not represent a function of x is:
{(0,1.5), (3,2.5), (1,3.3), (1,4.5)}