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Introduction to Functions

Assignment: Active

Determining the Range from a Set of Ordered Pairs

The set of ordered pairs [tex](-1,8), (0,3), (1,-2), (2,-7)[/tex] represents a function. What is the range of the function?

A. [tex]\{x: x=-1,0,1,2\}[/tex]

B. [tex]\{y: y=-7,-2,3,8\}[/tex]

C. [tex]\{x: x=-7,-2,-1,0,1,2,3,8\}[/tex]

D. [tex]\{y: y=-7,-2,-1,0,1,2,3,8\}[/tex]

Sagot :

GinnyAnswer
To determine the range of the function from the given set of ordered pairs, we need to identify all the y-values in the given pairs.

The ordered pairs given are:
[tex]\[ (-1, 8), (0, 3), (1, -2), (2, -7) \][/tex]

These pairs represent the function in the form [tex]\( (x, y) \)[/tex].

To find the range, which consists of all the y-values in the pairs, we will:

1. Extract the y-values from each ordered pair:
[tex]\[ 8, 3, -2, -7 \][/tex]

2. Collect and sort these y-values for clear representation:
[tex]\[ -7, -2, 3, 8 \][/tex]

Thus, the range of the function is:
[tex]\[ \{y: y = -7, -2, 3, 8\} \][/tex]

Therefore, the correct answer is:
[tex]\[ \{y: y = -7, -2, 3, 8\} \][/tex]
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