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function, and then identify the functions domain and range. $y = |x - 3…

Question

function, and then identify the functions domain and range.
$y = |x - 3|$

$x$$x - 3$$y =x - 3$
1
2
3

Explanation:

Step1: Calculate for \( x = 0 \)

Substitute \( x = 0 \) into \( x - 3 \), we get \( 0 - 3 = -3 \).

Step2: Calculate for \( x = 1 \)

Substitute \( x = 1 \) into \( x - 3 \), we get \( 1 - 3 = -2 \).

Step3: Calculate for \( x = 2 \)

Substitute \( x = 2 \) into \( x - 3 \), we get \( 2 - 3 = -1 \).

Step4: Calculate for \( x = 3 \)

Substitute \( x = 3 \) into \( x - 3 \), we get \( 3 - 3 = 0 \).

Answer:

For \( x = 0 \): \(-3\)
For \( x = 1 \): \(-2\)
For \( x = 2 \): \(-1\)
For \( x = 3 \): \(0\)