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Example Questions
Example Question #61 : Relations And Functions
Consider a family consisting of a two parents, Juan and Oksana, and their daughters Adriana and Laksmi. A relation is true whenever
is the child of
. Which of the following is not true?
Even if the two parents had only one daughter, the relation would not be a function.
If the two parents had only one daughter, the relation would be a function.
(Adriana,Laksmi) does not hold because Laksmi is not Adriana's child and is a boy.
The relation is not a function because (Laksmi,Juan) and (Laksmi,Oksana) both hold.
(Laksmi,Adriana) does not hold because Adriana is not Laksmi's child.
Even if the two parents had only one daughter, the relation would not be a function.
The statement
"Even if the two parents had only one daughter, the relation would not be a function."
is not true because if they had only one daughter, say Adriana, then the only relations that would exist would be (Juan, Adriana) and (Oksana,Adriana), which defines a function.
Example Question #1026 : Pre Calculus
Which of the following relations is not a function?
The definition of a function requires that for each input (i.e. each value of ), there is only one output (i.e. one value of
). For
, each value of
corresponds to two values of
(for example, when
, both
and
are correct solutions). Therefore, this relation cannot be a function.
Example Question #62 : Relations And Functions
Given the set of ordered pairs, determine if the relation is a function
Cannot be determined
No
Yes
No
A relation is a function if no single x-value corresponds to more than one y-value.
Because the mapping from goes to
and
the relation is NOT a function.
Example Question #61 : Relations And Functions
What equation is perpendicular to and passes throgh
?
First find the reciprocal of the slope of the given function.
The perpendicular function is:
Now we must find the constant, , by using the given point that the perpendicular crosses.
solve for :
Example Question #5 : Determine If A Relation Is A Function
Is the following relation of ordered pairs a function?
Cannot be determined
Yes
No
Yes
A set of ordered pairs is a function if it passes the vertical line test.
Because there are no more than one corresponding value for any given
value, the relation of ordered pairs IS a function.
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