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.

1 answer

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.

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