Answer: On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3)
Step-by-step explanation:
- A relation is said to be a function if each input value(x-value) corresponds to a unique output value (y-value).
Let's check all the points on each graph.
I) (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).
Here, 1 is corresponds to two output values 1 and 2.
⇒ It is not representing a function.
II) (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3)
Here, each input value is corresponds to a uniques out put value.
⇒ It is representing a function.
III) (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1).
Here, 2 is corresponds to two output values 3 and -3.
⇒ It is not representing a function.
IV) (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1).
Here, -3 is corresponds to two output values -4 and 4.
⇒ It is not representing a function.
Hence, the graph shows a set of ordered pairs that represents a function : On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).
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