Answer :
Answer: \[f(0) = 0, \quad f(1) = 4, \quad f(2) = 8, \quad f(3) = 12, \quad f(4) = 16, \quad f(5) = 20, \quad f(6) = 24, \quad f(7) = 28, \quad f(8) = 32, \quad f(9) = 36\]
Step-by-step explanation:
To solve the equation \(f(x) = 4x\), you need to substitute the values of \(x\) from the table into the equation and calculate \(f(x)\) for each value. Here are the calculations:
For \(x = 0\):
\[f(0) = 4 \cdot 0 = 0\]
For \(x = 1\):
\[f(1) = 4 \cdot 1 = 4\]
For \(x = 2\):
\[f(2) = 4 \cdot 2 = 8\]
For \(x = 3\):
\[f(3) = 4 \cdot 3 = 12\]
For \(x = 4\):
\[f(4) = 4 \cdot 4 = 16\]
For \(x = 5\):
\[f(5) = 4 \cdot 5 = 20\]
For \(x = 6\):
\[f(6) = 4 \cdot 6 = 24\]
For \(x = 7\):
\[f(7) = 4 \cdot 7 = 28\]
For \(x = 8\):
\[f(8) = 4 \cdot 8 = 32\]
For \(x = 9\):
\[f(9) = 4 \cdot 9 = 36\]
So, the values of \(f(x)\) for each \(x\) in the table are:
\[f(0) = 0, \quad f(1) = 4, \quad f(2) = 8, \quad f(3) = 12, \quad f(4) = 16, \quad f(5) = 20, \quad f(6) = 24, \quad f(7) = 28, \quad f(8) = 32, \quad f(9) = 36\]
