Question
Complete the table and then graph the function.
y=x+2
x y
0
7
8
Click to select points on the graph.
Answers
GPT-4o mini
To complete the table for the function \( y = x + 2 \), we'll substitute the given \( x \) values into the equation to find the corresponding \( y \) values.
1. For \( x = 0 \):
\[
y = 0 + 2 = 2
\]
2. For \( x = 7 \):
\[
y = 7 + 2 = 9
\]
3. For \( x = 8 \):
\[
y = 8 + 2 = 10
\]
Now, let's fill in the completed table:
| x | y |
|---|---|
| 0 | 2 |
| 7 | 9 |
| 8 | 10 |
Next, we can graph the points \((0, 2)\), \((7, 9)\), and \((8, 10)\):
1. The point \((0, 2)\) is located at the origin, moving up 2 units.
2. The point \((7, 9)\) is found by moving 7 units to the right and then 9 units up.
3. The point \((8, 10)\) is similarly found by moving 8 units to the right and then 10 units up.
Once plotted, you can connect the points with a straight line, as this is a linear function. The graph should show an upward diagonal line, which indicates that \( y \) increases as \( x \) increases.
1. For \( x = 0 \):
\[
y = 0 + 2 = 2
\]
2. For \( x = 7 \):
\[
y = 7 + 2 = 9
\]
3. For \( x = 8 \):
\[
y = 8 + 2 = 10
\]
Now, let's fill in the completed table:
| x | y |
|---|---|
| 0 | 2 |
| 7 | 9 |
| 8 | 10 |
Next, we can graph the points \((0, 2)\), \((7, 9)\), and \((8, 10)\):
1. The point \((0, 2)\) is located at the origin, moving up 2 units.
2. The point \((7, 9)\) is found by moving 7 units to the right and then 9 units up.
3. The point \((8, 10)\) is similarly found by moving 8 units to the right and then 10 units up.
Once plotted, you can connect the points with a straight line, as this is a linear function. The graph should show an upward diagonal line, which indicates that \( y \) increases as \( x \) increases.