Describing Rate of Change in Linear Functions

The video tutorial explains linear functions, focusing on their constant rate of change. It covers how to identify linear functions using graphs, equations, and tables, emphasizing the importance of the rate of change. Common mistakes in identifying linearity are discussed, and examples of linear and non-linear functions are provided. The lesson concludes with a summary of key points.

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

• It forms a curved line.

• It forms a dotted line.

• It forms a straight line.

• It forms a zigzag pattern.

In a table, how can you confirm that a function is linear?

• By ensuring the change in x divided by the change in y is constant.

• By checking if the change in y is constant.

• By checking if the change in x is constant.

• By ensuring the change in y divided by the change in x is constant.

What does the coefficient of x in a linear equation represent?

• The constant term in the equation.

• The x-intercept of the graph.

• The slope or rate of change.

• The y-intercept of the graph.

Why is the function y = 5 + 2x considered linear?

• Because it has a constant y-intercept.

• Because it forms a curved line on a graph.

• Because it has a constant rate of change.

• Because it has a variable exponent.

Why is y = 5 + 2x squared not a linear function?

• Because it has a constant y-intercept.

• Because it includes an exponent, leading to a non-constant rate of change.

• Because it forms a straight line on a graph.

• Because it has a constant rate of change.