To graph the function \( f(x) = 4x - 5 \) and complete the table of function values, you will need to calculate \( f(x) \) for various \( x \) values.
Let's compute \( f(x) \) for the values \( x = -2, 0, \) and \( 2 \):
-
For \( x = -2 \): \[ f(-2) = 4(-2) - 5 = -8 - 5 = -13 \]
-
For \( x = 0 \): \[ f(0) = 4(0) - 5 = 0 - 5 = -5 \]
-
For \( x = 2 \): \[ f(2) = 4(2) - 5 = 8 - 5 = 3 \]
Now, we can complete the table of function values:
\[ \begin{array}{|c|c|} \hline x & f(x) \ \hline -2 & -13 \ 0 & -5 \ 2 & 3 \ \hline \end{array} \]
With the table completed, you can now plot these points on a graph to visualize the function \( f(x) = 4x - 5 \). The points to plot are:
- Point \((-2, -13)\)
- Point \((0, -5)\)
- Point \((2, 3)\)
To graph the function, you would draw a straight line through these points since it is a linear function.