Question

Question content area top left
Part 1
Graph the function ​f(x)equals4xminus5.
x
​f(x)
minus2
0
2
Question content area bottom left
Part 1
Complete the table of function values below.

Answer 1

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 \( 2 \):

1. For \( x = -2 \):
\[
f(-2) = 4(-2) - 5 = -8 - 5 = -13
\]

2. For \( x = 0 \):
\[
f(0) = 4(0) - 5 = 0 - 5 = -5
\]

3. 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.