Question

Graph the propositional relationship y = 2x by plotting points.

Options
Graph one Dot (1,4)

Graph 2 Dot 1 (1,3) Dot 2 (2,6)

Graph 3 Dot 1 (2,1)

Graph 4 Dot 1 (1,2) Dot 2 (2,4)

Answer 1

To graph the propositional relationship \( y = 2x \), we can plot points by substituting values for \( x \) and calculating the corresponding \( y \) values.

1. For \( x = 0 \):
\[
y = 2(0) = 0 \quad \text{(Point: (0,0))}
\]

2. For \( x = 1 \):
\[
y = 2(1) = 2 \quad \text{(Point: (1,2))}
\]

3. For \( x = 2 \):
\[
y = 2(2) = 4 \quad \text{(Point: (2,4))}
\]

4. For \( x = 3 \):
\[
y = 2(3) = 6 \quad \text{(Point: (3,6))}
\]

Now we can compare these calculated points with the options provided:

- **Option 1:** **Graph one Dot (1,4)** - Incorrect, since \( y \) when \( x = 1 \) should be 2.

- **Option 2:** **Graph 2 Dot 1 (1,3) Dot 2 (2,6)** - Incorrect, as the correct values are \( (1,2) \) and \( (2,4) \).

- **Option 3:** **Graph 3 Dot 1 (2,1)** - Incorrect, since \( y \) when \( x = 2 \) is 4.

- **Option 4:** **Graph 4 Dot 1 (1,2) Dot 2 (2,4)** - Correct! The points plotted here match the function.

Therefore, the correct option to represent the relationship \( y = 2x \) by plotting points is **Option 4: Dot 1 (1,2) and Dot 2 (2,4)**.