Question

the function ( f ) is defined by the following rule. ( f(x) = -3x + 5 ) complete the function table.

( x )	( f(x) )
( 0 )	( square )
( 1 )	( square )
( 2 )	( square )
( 4 )	( square )

Explanation:

Step1: Substitute \( x = -3 \) into \( f(x) \)

\( f(-3) = -3\times(-3) + 5 = 9 + 5 = 14 \)

Step2: Substitute \( x = 0 \) into \( f(x) \)

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

Step3: Substitute \( x = 1 \) into \( f(x) \)

\( f(1) = -3\times1 + 5 = -3 + 5 = 2 \)

Step4: Substitute \( x = 2 \) into \( f(x) \)

\( f(2) = -3\times2 + 5 = -6 + 5 = -1 \)

Step5: Substitute \( x = 4 \) into \( f(x) \)

\( f(4) = -3\times4 + 5 = -12 + 5 = -7 \)

Answer:

When \( x = -3 \), \( f(x) = 14 \); when \( x = 0 \), \( f(x) = 5 \); when \( x = 1 \), \( f(x) = 2 \); when \( x = 2 \), \( f(x) = -1 \); when \( x = 4 \), \( f(x) = -7 \)

So the completed table (filling the blanks from top to bottom) is: \( 14 \), \( 5 \), \( 2 \), \( -1 \), \( -7 \)