Identifying Function Types and Characteristics

In this video, Amana Kumar explains how to determine if a given equation is a linear, quadratic, or neither function. The video includes six examples, each demonstrating a different type of function. The examples cover quadratic, linear, exponential, and cubic functions, with detailed explanations for each. The video concludes with practice questions to reinforce the concepts learned.

What is the main goal of the video?

• To solve quadratic equations

• To identify types of functions from equations

• To learn about exponential growth

• To understand calculus concepts

In the first example, why is the function identified as quadratic?

• It has a constant term

• It is an exponential function

• It is a linear equation

• It has a variable with an exponent of 2

Which of the following is not a characteristic of a quadratic function?

• It has a variable in the exponent

• It has a constant term

• It has a variable squared

• It forms a parabola when graphed

What makes the second example a linear function?

• It has a quadratic term

• It is a constant function

• The highest exponent of the variable is 1

• It is an exponential function

Which of the following is a characteristic of a linear function?

• It has a variable in the exponent

• The graph is a straight line

• The highest power of the variable is 2

• It is always increasing

What is the degree of a polynomial that makes it linear?

• 2

• 3

• 1

• 0

Why is the third example neither linear nor quadratic?

• It has a variable in the exponent

• It is a constant function

• It is a linear function

• It has a quadratic term

Which function type has a variable in the exponent?

• Linear

• Quadratic

• Cubic

• Exponential

What is the key feature of an exponential function?

• It has a constant rate of change

• It forms a straight line

• The variable is in the base

• The variable is in the exponent

What is the result of expanding the fourth example?

• A linear function

• A quadratic function

• An exponential function

• A constant function