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fill in the table using this function rule. $y = -3x + 5$ | $x$ | $y$ |…

Question

fill in the table using this function rule.
$y = -3x + 5$

$x$$y$
$-1$$square$
$0$$square$
$1$$square$

Explanation:

Step1: Substitute \( x = -2 \) into \( y = -3x + 5 \)

\( y = -3\times(-2) + 5 = 6 + 5 = 11 \)

Step2: Substitute \( x = -1 \) into \( y = -3x + 5 \)

\( y = -3\times(-1) + 5 = 3 + 5 = 8 \)

Step3: Substitute \( x = 0 \) into \( y = -3x + 5 \)

\( y = -3\times0 + 5 = 0 + 5 = 5 \)

Step4: Substitute \( x = 1 \) into \( y = -3x + 5 \)

\( y = -3\times1 + 5 = -3 + 5 = 2 \)

Answer:

When \( x = -2 \), \( y = 11 \); when \( x = -1 \), \( y = 8 \); when \( x = 0 \), \( y = 5 \); when \( x = 1 \), \( y = 2 \)

So the completed table is:

\( x \)\( y \)
\( -1 \)\( 8 \)
\( 0 \)\( 5 \)
\( 1 \)\( 2 \)