Question:
At the end of a semester, students' math grades are listed in a table which gives each student's ID number in the left column and the student's grade in the right column. Let N represent the ID number and G represent the grade. Which quantity, N or G, must necessarily be a function of the other?
2007-09-27 10:30:31 · 8 answers · asked by Ace 2 in Science & Mathematics ➔ Mathematics
grade is a function of the id number
2007-10-05 03:30:39 · answer #1 · answered by jonroy01 2 · 0⤊ 0⤋
If i understood your question, the function should be defined from N to G : f(x): N->G
Remember, a function MUST have ONE and ONLY ONE value in the range for each of the values (inputs) in the domain.
So in our case - Every student MUST have a grade and NO STUDENT can have more than ONE grade.
Had it been from G to N, then there could definitely be a case where 2 or more students would get an A right?
Well that breaks the rules for a function because you have multiple values (studentIDs) in the range belonging to one value (the grade) in the domain.
Get it?
2007-09-27 17:38:56 · answer #2 · answered by Shai 2 · 1⤊ 0⤋
G is a function of N. For each N, there is one, and only
one, grade. This is the definition of a function.
The reverse is not necessarily true: the same grade may be assigned to more than one name.
2007-09-27 17:40:13 · answer #3 · answered by Grampedo 7 · 0⤊ 0⤋
Neither is a function of the other. There seems to be very little understanding of function in most of the answers here.
2007-10-04 22:54:41 · answer #4 · answered by rwbblb46 4 · 0⤊ 0⤋
Grade is function of ID as ID is independent and grade is dependent upon id.
G =f(N)
2007-10-04 10:14:23 · answer #5 · answered by libraboy28 2 · 0⤊ 0⤋
G is a function of N
â¥Han
2007-09-27 17:38:45 · answer #6 · answered by HanHan 2 · 0⤊ 0⤋
G= f(N)
2007-09-27 17:36:41 · answer #7 · answered by ironduke8159 7 · 0⤊ 0⤋
AVERAGE(G) = SUM(G)/COUNT(N)
2007-10-04 02:10:51 · answer #8 · answered by Jun Agruda 7 · 2⤊ 0⤋