Questions: 4-7 Skills Practice Functions and Graphs Copy and complete each function table. 1. y=x-1 x, x-1, y 1, , 2, , 3, , 4, , 4. y=-4 x x, -4 x, y -1, , 0, , 1, , 2, , 2. y=x+7 x, x+7 1, 2, 3, 4, 5. y=3 x+1 x, 3 x+1 -1, 0, 1, 2,

4-7 Skills Practice Functions and Graphs
Copy and complete each function table.
1. y=x-1
x, x-1, y
1, ,
2, ,
3, ,
4, ,

4. y=-4 x
x, -4 x, y
-1, ,
0, ,
1, ,
2, ,

2. y=x+7
x, x+7
1,
2,
3,
4,

5. y=3 x+1
x, 3 x+1
-1,
0,
1,
2,

Transcript text: 4-7 Skills Practice Functions and Graphs Copy and complete each function table. 1. $y=x-1$ \begin{tabular}{|c|c|c|} \hline$x$ & $x-1$ & $y$ \\ \hline 1 & & \\ 2 & & \\ 3 & & \\ 4 & & \\ \hline \end{tabular} 4. $y=-4 x$ \begin{tabular}{|r|l|r|} \hline \multicolumn{1}{|c|}{$x$} & $-4 x$ & $y$ \\ \hline-1 & & \\ 0 & & \\ 1 & & \\ 2 & & \\ \hline \end{tabular} 2. $y=x+7$ \begin{tabular}{|c|c|} \hline$x$ & $x+7$ \\ \hline 1 & \\ 2 & \\ 3 & \\ 4 & \\ \hline \end{tabular} 5. $y=3 x+1$ \begin{tabular}{|r|l|} \hline$x$ & $3 x+1$ \\ \hline-1 & \\ 0 & \\ 1 & \\ 2 & \\ \hline \end{tabular}

Solution

Solution Steps

To complete each function table, substitute the given values of $ x $ into the function equations to calculate the corresponding $ y $ values. This involves simple arithmetic operations for each function.

Step 1: Function $ y = x - 1 $

To complete the function table for $ y = x - 1 $, we substitute the values of $ x $:

For $ x = 1 $: $ y = 1 - 1 = 0 $
For $ x = 2 $: $ y = 2 - 1 = 1 $
For $ x = 3 $: $ y = 3 - 1 = 2 $
For $ x = 4 $: $ y = 4 - 1 = 3 $

Thus, the completed table is: \[ \begin{array}{|c|c|} \hline x & y \\ \hline 1 & 0 \\ 2 & 1 \\ 3 & 2 \\ 4 & 3 \\ \hline \end{array} \]

Step 2: Function $ y = -4x $

Next, we complete the function table for $ y = -4x $:

For $ x = -1 $: $ y = -4 \times (-1) = 4 $
For $ x = 0 $: $ y = -4 \times 0 = 0 $
For $ x = 1 $: $ y = -4 \times 1 = -4 $
For $ x = 2 $: $ y = -4 \times 2 = -8 $

Thus, the completed table is: \[ \begin{array}{|r|r|} \hline x & y \\ \hline -1 & 4 \\ 0 & 0 \\ 1 & -4 \\ 2 & -8 \\ \hline \end{array} \]

Step 3: Function $ y = x + 7 $

Finally, we complete the function table for $ y = x + 7 $:

For $ x = 1 $: $ y = 1 + 7 = 8 $
For $ x = 2 $: $ y = 2 + 7 = 9 $
For $ x = 3 $: $ y = 3 + 7 = 10 $
For $ x = 4 $: $ y = 4 + 7 = 11 $

Thus, the completed table is: \[ \begin{array}{|c|c|} \hline x & y \\ \hline 1 & 8 \\ 2 & 9 \\ 3 & 10 \\ 4 & 11 \\ \hline \end{array} \]

Final Answer

The completed function tables are:

For $ y = x - 1 $: \[ \begin{array}{|c|c|} \hline x & y \\ \hline 1 & 0 \\ 2 & 1 \\ 3 & 2 \\ 4 & 3 \\ \hline \end{array} \]
For $ y = -4x $: \[ \begin{array}{|r|r|} \hline x & y \\ \hline -1 & 4 \\ 0 & 0 \\ 1 & -4 \\ 2 & -8 \\ \hline \end{array} \]
For $ y = x + 7 $: \[ \begin{array}{|c|c|} \hline x & y \\ \hline 1 & 8 \\ 2 & 9 \\ 3 & 10 \\ 4 & 11 \\ \hline \end{array} \]

Thus, the final answer is boxed as follows: \[ \boxed{\text{Completed tables as shown above}} \]

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