QuestionWhich pairs represent functions from $A=\{a, b, c\}$ to $B=\{0,1,2,3\}$ ? Select all that apply: $\{(1, a),(0, a),(2, c),(3, b)\}$ $\{(a, 1),(c, 2),(c, 3),(b, 3)\}$ $\{(c, 0),(b, 0),(a, 3)\}$ $\{(a, 1),(b, 2),(c, 3)\}$

Studdy Solution

STEP 1

Assumptions1. Set A = {a, b, c} . Set B = {0,1,,3}
3. A function from set A to set B is a relation that assigns exactly one element of set B to each element of set A.

STEP 2

We need to check if each set of ordered pairs assigns exactly one element of set B to each element of set A.

STEP 3

Let's check the first set of ordered pairs $\{(1, a),(0, a),(2, c),(3, b)\}$ In this set, the elements of set A (a, b, c) are not present in the first position of the ordered pairs. Therefore, this set does not represent a function from A to B.

STEP 4

Let's check the second set of ordered pairs $\{(a,1),(c,2),(c,3),(b,3)\}$ In this set, the element 'c' from set A is associated with two elements from set B (2 and3). Therefore, this set does not represent a function from A to B.

STEP 5

Let's check the third set of ordered pairs $\{(c,0),(b,0),(a,3)\}$ In this set, each element of set A is associated with exactly one element of set B. Therefore, this set represents a function from A to B.

STEP 6

Let's check the fourth set of ordered pairs $\{(a,1),(b,2),(c,3)\}$ In this set, each element of set A is associated with exactly one element of set B. Therefore, this set represents a function from A to B.
The sets of ordered pairs that represent functions from A to B are $\{(c,0),(b,0),(a,3)\}$ and $\{(a,1),(b,2),(c,3)\}$ .

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QuestionWhich pairs represent functions from $A=\{a, b, c\}$ to $B=\{0,1,2,3\}$ ? Select all that apply: $\{(1, a),(0, a),(2, c),(3, b)\}$ $\{(a, 1),(c, 2),(c, 3),(b, 3)\}$ $\{(c, 0),(b, 0),(a, 3)\}$ $\{(a, 1),(b, 2),(c, 3)\}$

Studdy Solution

STEP 1

Assumptions1. Set A = {a, b, c} . Set B = {0,1,,3}
3. A function from set A to set B is a relation that assigns exactly one element of set B to each element of set A.

STEP 2

We need to check if each set of ordered pairs assigns exactly one element of set B to each element of set A.

STEP 3

Let's check the first set of ordered pairs $\{(1, a),(0, a),(2, c),(3, b)\}$ In this set, the elements of set A (a, b, c) are not present in the first position of the ordered pairs. Therefore, this set does not represent a function from A to B.

STEP 4

Let's check the second set of ordered pairs $\{(a,1),(c,2),(c,3),(b,3)\}$ In this set, the element 'c' from set A is associated with two elements from set B (2 and3). Therefore, this set does not represent a function from A to B.

STEP 5

Let's check the third set of ordered pairs $\{(c,0),(b,0),(a,3)\}$ In this set, each element of set A is associated with exactly one element of set B. Therefore, this set represents a function from A to B.

STEP 6

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Studdy Solution

STEP 1

Assumptions1. Set A = {a, b, c} . Set B = {0,1,,3}3. A function from set A to set B is a relation that assigns exactly one element of set B to each element of set A.

STEP 2

We need to check if each set of ordered pairs assigns exactly one element of set B to each element of set A.

STEP 3

Let's check the first set of ordered pairs {(1,a),(0,a),(2,c),(3,b)}\{(1, a),(0, a),(2, c),(3, b)\}{(1,a),(0,a),(2,c),(3,b)}In this set, the elements of set A (a, b, c) are not present in the first position of the ordered pairs. Therefore, this set does not represent a function from A to B.

STEP 4

Let's check the second set of ordered pairs {(a,1),(c,2),(c,3),(b,3)}\{(a,1),(c,2),(c,3),(b,3)\}{(a,1),(c,2),(c,3),(b,3)}In this set, the element 'c' from set A is associated with two elements from set B (2 and3). Therefore, this set does not represent a function from A to B.

STEP 5

Let's check the third set of ordered pairs {(c,0),(b,0),(a,3)}\{(c,0),(b,0),(a,3)\}{(c,0),(b,0),(a,3)}In this set, each element of set A is associated with exactly one element of set B. Therefore, this set represents a function from A to B.

STEP 6

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. Set A = {a, b, c} . Set B = {0,1,,3}
3. A function from set A to set B is a relation that assigns exactly one element of set B to each element of set A.

Let's check the first set of ordered pairs $\{(1, a),(0, a),(2, c),(3, b)\}$ In this set, the elements of set A (a, b, c) are not present in the first position of the ordered pairs. Therefore, this set does not represent a function from A to B.

Let's check the second set of ordered pairs $\{(a,1),(c,2),(c,3),(b,3)\}$ In this set, the element 'c' from set A is associated with two elements from set B (2 and3). Therefore, this set does not represent a function from A to B.

Let's check the third set of ordered pairs $\{(c,0),(b,0),(a,3)\}$ In this set, each element of set A is associated with exactly one element of set B. Therefore, this set represents a function from A to B.