Question Find the range of the function $f$ given by the set of ordered pairs $\{(4,2),(5,1),(6,2),(7,3),(8,6)\}$ .

Studdy Solution

STEP 1

Assumptions
1. The function $f$ is given as a set of ordered pairs.
2. The range of a function is the set of all second elements (y-values) in the ordered pairs.

STEP 2

To find the range of the function $f$ , we need to list all the unique second elements from the given ordered pairs.

STEP 3

Extract the second elements from each ordered pair in the function $f$ .
$\{(4,2),(5,1),(6,2),(7,3),(8,6)\}$

STEP 4

List the second elements, which are $2, 1, 2, 3, 6$ .

STEP 5

Identify the unique values among the second elements. Since $2$ appears twice, we only count it once.

STEP 6

The unique second elements are $2, 1, 3, 6$ .

STEP 7

Order the unique second elements in ascending order to form the range of the function $f$ .
$Range\, of\, f = \{1, 2, 3, 6\}$

STEP 8

Compare the ordered set with the given options to identify the correct range of $f$ .
The correct range of $f$ is $\{1, 2, 3, 6\}$ , which corresponds to the first option.
The solution to the problem is the set $\{1, 2, 3, 6\}$ .

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Question Find the range of the function $f$ given by the set of ordered pairs $\{(4,2),(5,1),(6,2),(7,3),(8,6)\}$ .

Studdy Solution

STEP 1

Assumptions
1. The function $f$ is given as a set of ordered pairs.
2. The range of a function is the set of all second elements (y-values) in the ordered pairs.

STEP 2

To find the range of the function $f$ , we need to list all the unique second elements from the given ordered pairs.

STEP 3

Extract the second elements from each ordered pair in the function $f$ .
$\{(4,2),(5,1),(6,2),(7,3),(8,6)\}$

STEP 4

List the second elements, which are $2, 1, 2, 3, 6$ .

STEP 5

Identify the unique values among the second elements. Since $2$ appears twice, we only count it once.

STEP 6

The unique second elements are $2, 1, 3, 6$ .

STEP 7

Order the unique second elements in ascending order to form the range of the function $f$ .
$Range\, of\, f = \{1, 2, 3, 6\}$

STEP 8

Compare the ordered set with the given options to identify the correct range of $f$ .
The correct range of $f$ is $\{1, 2, 3, 6\}$ , which corresponds to the first option.
The solution to the problem is the set $\{1, 2, 3, 6\}$ .

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Question Find the range of the function fff given by the set of ordered pairs {(4,2),(5,1),(6,2),(7,3),(8,6)}\{(4,2),(5,1),(6,2),(7,3),(8,6)\}{(4,2),(5,1),(6,2),(7,3),(8,6)}.

Studdy Solution

STEP 1

Assumptions1. The function fff is given as a set of ordered pairs.2. The range of a function is the set of all second elements (y-values) in the ordered pairs.

STEP 2

To find the range of the function fff, we need to list all the unique second elements from the given ordered pairs.

STEP 3

Extract the second elements from each ordered pair in the function fff.{(4,2),(5,1),(6,2),(7,3),(8,6)}\{(4,2),(5,1),(6,2),(7,3),(8,6)\}{(4,2),(5,1),(6,2),(7,3),(8,6)}

STEP 4

List the second elements, which are 2,1,2,3,62, 1, 2, 3, 62,1,2,3,6.

STEP 5

Identify the unique values among the second elements. Since 222 appears twice, we only count it once.

STEP 6

The unique second elements are 2,1,3,62, 1, 3, 62,1,3,6.

STEP 7

Order the unique second elements in ascending order to form the range of the function fff.Range of f={1,2,3,6}Range\, of\, f = \{1, 2, 3, 6\}Rangeoff={1,2,3,6}

STEP 8

Compare the ordered set with the given options to identify the correct range of fff.The correct range of fff is {1,2,3,6}\{1, 2, 3, 6\}{1,2,3,6}, which corresponds to the first option.The solution to the problem is the set {1,2,3,6}\{1, 2, 3, 6\}{1,2,3,6}.

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Studdy solves anything!

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Question Find the range of the function $f$ given by the set of ordered pairs $\{(4,2),(5,1),(6,2),(7,3),(8,6)\}$ .

Assumptions
1. The function $f$ is given as a set of ordered pairs.
2. The range of a function is the set of all second elements (y-values) in the ordered pairs.

To find the range of the function $f$ , we need to list all the unique second elements from the given ordered pairs.

Extract the second elements from each ordered pair in the function $f$ .
$\{(4,2),(5,1),(6,2),(7,3),(8,6)\}$

List the second elements, which are $2, 1, 2, 3, 6$ .

Identify the unique values among the second elements. Since $2$ appears twice, we only count it once.

The unique second elements are $2, 1, 3, 6$ .

Order the unique second elements in ascending order to form the range of the function $f$ .
$Range\, of\, f = \{1, 2, 3, 6\}$

Compare the ordered set with the given options to identify the correct range of $f$ .
The correct range of $f$ is $\{1, 2, 3, 6\}$ , which corresponds to the first option.
The solution to the problem is the set $\{1, 2, 3, 6\}$ .