Understanding Linear Functions

The video tutorial explains how to complete a table for the equation f(x) = 6x - 5 by calculating function outputs for given x values. It demonstrates how to plot these points on a graph to visualize the function. The tutorial emphasizes the importance of using multiple points to ensure accuracy in graphing a linear function.

What is the equation given in the task to complete the table?

• f(x) = 5x + 6

• f(x) = 6x - 5

• f(x) = 5x - 6

• f(x) = 6x + 5

What is the output when the input x is -2?

• -5

• -12

• -17

• -11

What ordered pair corresponds to the input x = -1?

• (-1, -6)

• (-1, -17)

• (-1, -11)

• (-1, -5)

What is the function value when x is 0?

• -1

• 0

• -5

• 5

Which ordered pair represents the input x = 1?

• (1, 0)

• (1, 1)

• (1, -1)

• (1, 5)

What is the output for the input x = 2?

• 12

• 7

• 5

• 2

Which ordered pair corresponds to x = 2?

• (2, 7)

• (2, 5)

• (2, 2)

• (2, 12)

What is the importance of using three points instead of two when plotting?

• To ensure the line is straight

• To make the graph look better

• To verify the line passes through all points

• To use more data

What is the vertical intercept of the graph?

• (0, 0)

• (0, -5)

• (0, 5)

• (0, 1)

What is the range of the axes used for plotting the graph?

• -5 to 5

• -15 to 15

• -20 to 20

• -10 to 10