Graphing and Characteristics of Linear Functions

This video tutorial introduces linear functions, explaining how to identify them through graphs, ordered pairs, and equations. It covers the vertical line test for graph identification, the concept of constant change in ordered pairs, and the standard form of linear equations. The tutorial concludes with a demonstration of graphing linear functions using two points.

What is a key characteristic of a linear function when represented on a graph?

• It forms a straight line.

• It forms a circular shape.

• It forms a curved line.

• It forms a zigzag pattern.

Which test can be used to determine if a graph represents a function?

• Vertical line test

• Diagonal line test

• Horizontal line test

• Curved line test

In a linear function, what does a constant change in x correspond to?

• A decrease in y

• No change in y

• A constant change in y

• A variable change in y

What indicates a non-linear function when examining ordered pairs?

• Constant change in x but variable change in y

• Constant change in both x and y

• Variable change in x but constant change in y

• No change in x or y

Which of the following is a characteristic of a linear equation in standard form?

• x and y are multiplied together

• x and y have exponents greater than one

• x and y are not multiplied together

• x and y appear in radical signs

What makes an equation non-linear?

• x appears as a denominator

• x and y are in standard form

• x and y are not multiplied together

• x and y have exponents of one

How many points are needed to graph a linear function?

• Three

• Four

• One

• Two

What is the first step in graphing a linear function from an equation?

• Multiply x and y together

• Create a table of values

• Find the square root of x

• Divide y by x

When graphing the point (0, 1), where do you plot it?

• On the x-axis

• On the y-axis

• In quadrant one

• In quadrant three

What is the result of connecting two points on a graph?

• A triangle

• A line

• A circle

• A square