Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 10, 2024

Find the range of the values in the table, where $X = \{-1, 3, 3, 4\}$ and $Y = \{-2, 0, -2, 5\}$ .

STEP 1

Assumptions
1. The table of values represents a function with inputs $X$ and corresponding outputs $Y$ .
2. The range of a function is the set of all possible output values ( $Y$ values).

STEP 2

Identify the $Y$ values from the table. These are the second row of numbers in the table.
$Y\, values = \{-2, 0, -2, 5\}$

STEP 3

Remove any duplicate values from the list of $Y$ values to find the unique output values.
$Unique\, Y\, values = \{-2, 0, 5\}$

STEP 4

The range of the function is the set of unique $Y$ values.
$Range = \{-2, 0, 5\}$

STEP 5

Match the calculated range with the given options.
The correct range is $\{-2, 0, 5\}$ , which corresponds to option D.
The solution is option D $\{-2,0,5\}$ .

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