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Functions and Relations 3
A
Result
. . . .

Choose the correct answer to each question.

1. Which of the following statements is false?
A function is a correspondence between two sets, say X and Y, that assigns to each element x of X exactly one element y of Y.
A function is a relation where no two distinct ordered pairs in it have the same second coordinate.
An example of a function is the set of ordered pairs {(2,5),(3,1),(4,4)}.
All functions are relations, but not all relations are functions.
Answer: A function is a relation where no two distinct ordered pairs in it have the same second coordinate.
2. Which of the following relations is not a function?
{(1,3),(1,4),(2,5)}
{(1,3),(2,4),(3,5)}
{(1,3),(2,3),(3,3)}
None of the choices
Answer: { ( 1 , 3 ) , ( 1 , 4 ) , ( 2 , 5 ) }
3. What do you call the set of all first coordinates of the ordered pairs?
domain
range
y-coordinates
None of the choices
Answer: domain
4. Which of the following equations is not a function?
y=x
y= x 2
y 2 =x
None of the choices
Answer: y 2 = x
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