31.05.2022

Which set of ordered pairs represent a function

. 5

Faq

Mathematics
Step-by-step answer
P Answered by PhD

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.

Mathematics
Step-by-step answer
P Answered by PhD
1. (-1,4)(1,4)(-2,4)(2,4) is a function because it has no repeating x values.

2. A is a subset of B because everything in A is in B ?? not sure exactly what u r looking for 

3. a(b*c) = (a*b)cassociative property

4. the intersection of A and C is { empty set } because they have no letters in common

5. range is all ur y valuesso the range of G is { 0,2,6,7 }

6. the union of B and C is { a,b,e,g,i,l,o,r,u }

7. set A is an empty set

8. the union of A and B is { a,b,e,g,i,l,o r,u }

9. 5(3 + 2) = 15 + 10distributive property

10. f(x) = 3x - 1f(-2) = 3(-2) - 1 = -6 - 1 = -7
      g(x) = -x + 6g(5) = -5 + 6 = 1
      f(-2) + g(5) = -7 + 1 = -6 <==

11. { -6,-5,-4,-3,-2,-1 }
Mathematics
Step-by-step answer
P Answered by PhD
1. (-1,4)(1,4)(-2,4)(2,4) is a function because it has no repeating x values.

2. A is a subset of B because everything in A is in B ?? not sure exactly what u r looking for 

3. a(b*c) = (a*b)cassociative property

4. the intersection of A and C is { empty set } because they have no letters in common

5. range is all ur y valuesso the range of G is { 0,2,6,7 }

6. the union of B and C is { a,b,e,g,i,l,o,r,u }

7. set A is an empty set

8. the union of A and B is { a,b,e,g,i,l,o r,u }

9. 5(3 + 2) = 15 + 10distributive property

10. f(x) = 3x - 1f(-2) = 3(-2) - 1 = -6 - 1 = -7
      g(x) = -x + 6g(5) = -5 + 6 = 1
      f(-2) + g(5) = -7 + 1 = -6 <==

11. { -6,-5,-4,-3,-2,-1 }
Mathematics
Step-by-step answer
P Answered by PhD

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

Mathematics
Step-by-step answer
P Answered by PhD
Functions will not have any repeating x values...they can have repeating y values, just not the x ones. However, u r looking for the ones that are not a function...so u r looking for the ones that have repeating x values.

A. this is not a function because it has repeating x values of -1.
B. this is a function
C. this is a function
D. this is a function

so the only one that is not a function is A. <== ur answer
Mathematics
Step-by-step answer
P Answered by PhD
1. Input and output is simple. The equation is Y=3x^2+1, and the input is 4 (x), so the output (y), is what we need to find. Using the equation, follow out the rules of PEMDAS. 4^2=16*3=58+1=49.
Answer is 49

2. This is an irrational Function. The most logical answer is C, but it can also be D

3.  Output is always Y. Seems your answer is the second choice. 
4: Answer is A, {-3, -1, 3, 4}

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