Step-by-step explanation:
D is correct. For any x in the domain of your function, there can be ONLY ONE corresponding y value. If you find more than one y value associated, then this relationship is NOT a function.
Step-by-step explanation:
D is correct. For any x in the domain of your function, there can be ONLY ONE corresponding y value. If you find more than one y value associated, then this relationship is NOT a function.
The set D has an error.
Step-by-step explanation:
Step 1:
Given set of ordered pairs
A (6, 8) (-6, 8)
B (1, 1) (-1, 1)
C (0, 3) (0, 3)
D (3, 2) (3, -2)
We need to find the set which has an error of incorrect reflection across the y axis.
Step 2 :
When a point is reflected across the y - axis , the value of y in the point (x,y) will be the same, and the sign of the x value will be changed to its opposite
i.e if we have a point (x,y) reflection across y axis will be (-x,y)
Step 3 :
Point A - y is same , sign of x is changed to opposite.
Point B - y is same , sign of x is changed to opposite.
Point C - y is same , x is 0
Point D - y is not same , sign of x is not changed to opposite.
Hence the set D has an error.
Step 4 :
Answer :
The set D has an error.
A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain of the relation, and the set of all y-values is called the range of the relation.
A relation from a set X (domain) to a set Y (range) is called a function if each element of X is related to exactly one element in Y.
A. A relation {(2,-3), (3,-3), (1,4), (9,2)} is a function, because each x has exactly one element y related to.
B. A relation {(8,-3), (3,8), (9,4), (-2,2)} is a function, because each x has exactly one element y related to.
C. A relation {(1,-1), (4,8), (9,-1), (3,2)} is a function, because each x has exactly one element y related to.
D. A relation {(1,-1), (-1,5), (1,-6), (-3,2)} is not a function, because x=1 has two possible outcomes y: y=-1 or y=-6.
A, B and C are functions and D is not a function
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