● A function is a rule by which any allowable value of one variable (independent variable) determines a unique value of a second variable (dependent variable).
Independent variable could be variable 'x' or input.
Dependent variable could be variable 'y' or output.
Notethatdifferentvaluesofxcorrespondingtothesamey-valuearepermittedinafunction(such as in no. 8 and 10)
● Any set of ordered pair is relation. A function is a special relation. So, if the ordered pair is not a function, it is just a relation.
>>> To determine which among the graphs are function, use vertical line test.A graph is a function if and only if there is no vertical line that crosses the graph more than once.
In number 12, a vertical crosses the graph more than once (three times to be exact), therefore it is not a function.
Answers & Comments
Answer:
7. FUNCTION
8. FUNCTION
9. RELATION
10. FUNCTION
11. FUNCTION
12. RELATION
13. FUNCTION
14. RELATION
15. FUNCTION
Step-by-step explanation:
● A function is a rule by which any allowable value of one variable (independent variable) determines a unique value of a second variable (dependent variable).
Independent variable could be variable 'x' or input.
Dependent variable could be variable 'y' or output.
It means that for any value of x (or input) there should only be one specific value of y (or output) (no.7). Otherwise, it is not a function (as in no.9)
Note that different values of x corresponding to the same y-value are permitted in a function (such as in no. 8 and 10)
● Any set of ordered pair is relation. A function is a special relation. So, if the ordered pair is not a function, it is just a relation.
>>> To determine which among the graphs are function, use vertical line test. A graph is a function if and only if there is no vertical line that crosses the graph more than once.
In number 12, a vertical crosses the graph more than once (three times to be exact), therefore it is not a function.
Hope this helps.
Answer:
7 to 8 - function
9 relation
10 to 12 function
12 relation
13 function
14 to 15 function