Understanding Function Tables and Linear Functions

The video tutorial explains how to create a table for a linear function, which is a function that forms a straight line when graphed. It introduces function notation, such as G of X, and explains how it relates to the equation of a line, like Y = 5x + 3. The tutorial also demonstrates how to complete a function table by substituting X values into the equation to find corresponding G of X values, which can be used for graphing.

What is the main task described in the problem?

• Solving a quadratic equation

• Creating a table for a linear function

• Finding the roots of a polynomial

• Creating a graph for a quadratic function

How is a linear function represented graphically?

• As a straight line

• As a circle

• As a parabola

• As a curve

What does the notation G(x) represent?

• An equation

• A function

• A constant value

• A variable

In the context of a linear equation, what does the 'of x' in G(x) signify?

• The variable used in the function

• The constant term

• The slope of the line

• The function's name

What is the equation of the line described in the video?

• Y = 5x + 3

• Y = 2x + 3

• Y = 3x + 2

• Y = 3x + 5

What is the first step in completing a function table?

• Graphing the function

• Solving for y

• Finding the slope

• Plugging in x-values

What is the value of G(x) when x = -3?

• -15

• 12

• -12

• 15

What is the value of G(x) when x = -1?

• 3

• 0

• 2

• -2

What is the value of G(x) when x = 0?

• 8

• 0

• 3

• 5

What is the value of G(x) when x = 2?

• 12

• 15

• 10

• 13