Question

f(x) = -3x + 27
x | f(x)
6 | blank
8 | blank
9 | blank
click to select points on the graph.
graph with f(x) axis from 3 to 10, grid lines

Explanation:

Step1: Calculate f(6)

Substitute \( x = 6 \) into \( f(x)=-3x + 27 \).
\( f(6)=-3\times6 + 27=-18 + 27 = 9 \)

Step2: Calculate f(8)

Substitute \( x = 8 \) into \( f(x)=-3x + 27 \).
\( f(8)=-3\times8 + 27=-24 + 27 = 3 \)

Step3: Calculate f(9)

Substitute \( x = 9 \) into \( f(x)=-3x + 27 \).
\( f(9)=-3\times9 + 27=-27 + 27 = 0 \)

Answer:

For \( x = 6 \), \( f(x)=9 \); for \( x = 8 \), \( f(x)=3 \); for \( x = 9 \), \( f(x)=0 \) (So the filled table cells are 9, 3, 0 respectively for \( x = 6, 8, 9 \))