How to Identify a Linear Function

The video tutorial addresses a standardized math test question about identifying linear functions. It begins by explaining the characteristics of a linear function, specifically focusing on the variable having an exponent of 1. The tutorial then analyzes several equations, distinguishing between linear, quadratic, and exponential functions. Finally, it identifies the correct equation that represents a linear function, emphasizing the importance of recognizing the exponent of the variable.

What is a key characteristic of a linear function?

• It has a variable with an exponent of 2.

• It has a variable with an exponent of 1.

• It has no variables.

• It has a variable with an exponent greater than 2.

Which of the following equations is a linear function?

• y = x + x^2

• y = x^3

• y = x/12

• y = x^2 + 3

What type of function is represented by an equation with a variable having an exponent of 2?

• Exponential function

• Constant function

• Quadratic function

• Linear function

If an equation is y = x * (x + 3), what type of function is it?

• Quadratic function

• Linear function

• Exponential function

• Logarithmic function

Why is y = x/12 considered a linear function?

• Because it has no variables.

• Because it has a variable with an exponent of 1.

• Because it has a variable with an exponent of 2.

• Because it has a variable with an exponent greater than 2.