Ask a New Question
Menu

or

Complete the table and then graph the function.
y = 2x
x y
0
1
3

1 answer

To complete the table for the function \( y = 2x \), we can calculate the corresponding values of \( y \) for the given \( x \) values.

  • When \( x = 0 \): \[ y = 2(0) = 0 \]

  • When \( x = 1 \): \[ y = 2(1) = 2 \]

  • When \( x = 3 \): \[ y = 2(3) = 6 \]

Now, we can fill in the completed table:

| \( x \) | \( y \) | |-----------|-----------| | 0 | 0 | | 1 | 2 | | 3 | 6 |

Graphing the Function

You can plot the points from the table:

  1. \( (0, 0) \)
  2. \( (1, 2) \)
  3. \( (3, 6) \)

To graph the function:

  1. Mark the x and y axes.
  2. Plot the points based on the table:
    • The point (0, 0) is the origin.
    • The point (1, 2) is in the first quadrant.
    • The point (3, 6) is also in the first quadrant.
  3. Connect the points with a straight line, as this function is linear.

This will provide a visual representation of the linear function \( y = 2x \). The line will pass through the origin and have a slope of 2.