Question

Directions​: ​Complete ​construct a table of at least 4 ordered pairs of points on the graph of the function and use the ordered pairs from the table to sketch the graph of the function f (x)=6x-1.

Answer 1

Construct a table by choosing x-values and calculating f(x) = 6x - 1 for each x. Plot at least four ordered pairs on a graph, connect them with a straight line using a ruler and pencil, and scale the axes.

Step-by-step explanation:

To answer the question on how to construct a table of ordered pairs for the function f(x) = 6x - 1 and sketch the graph, we will follow these steps:

1. Choose values for x. For example, x = 0, 1, 2, 3.
2. Calculate f(x) for each value of x. For instance, f(0) = 6(0) - 1 = -1, so one ordered pair is (0, -1).
3. Continue calculating f(x) for the rest of the x values to create at least four ordered pairs.
4. Plot these points on a coordinate plane.
5. Connect the points with a straight line because this is a linear function.

Let's create a table with four ordered pairs:

• (0, -1)
• (1, 5)
• (2, 11)
• (3, 17)

To sketch the graph, you would plot these points on graph paper, using a ruler and pencil to draw a straight line through the points, and scale the axes appropriately.