Understanding Linear, Exponential, and Quadratic Functions

The video tutorial by M Squared covers learning target five, focusing on comparing linear, exponential, and quadratic functions in equations, tables, and graphs. It reviews the characteristics of each function type, including how to identify them in different forms. The tutorial provides examples and practice opportunities to help students distinguish between these functions, emphasizing the importance of recognizing patterns in tables and understanding the graphical representations of each function type.

What is a key characteristic of a linear function?

• The function forms a curve.

• The x and y variables are plain and not exponents.

• The x variable is squared.

• The x variable is an exponent.

Which of the following is an example of a linear equation?

• y = 3^x

• y = 2x + 5

• y = 4/x

• y = x^2 + 3x + 1

How can you identify an exponential function?

• The function has a constant second difference.

• The x variable is squared.

• The function forms a straight line.

• The x variable is an exponent.

Which of the following equations represents an exponential function?

• y = 2x + 3

• y = 3^x

• y = 4/x

• y = x^2 + 2x + 1

What is the highest degree of the x variable in a quadratic function?

• 3

• 1

• 4

• 2

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

• The function has a constant first difference.

• The highest degree of x is 2.

• The function forms a straight line.

• The x variable is an exponent.

How can you identify a linear function from a table of values?

• The second difference of the y values is constant.

• The y values are added or subtracted by the same number each time.

• The y values are multiplied by the same number each time.

• The y values form a curve.

What indicates a quadratic function in a table of values?

• The y values are multiplied by the same number each time.

• The y values are added or subtracted by the same number each time.

• The second difference of the y values is constant.

• The y values form a straight line.

Which of the following graphs represents a quadratic function?

• A curve that increases rapidly

• A sine wave

• A parabola

• A straight line

What type of function is represented by a graph that forms a curve and increases rapidly?

• Linear

• Exponential

• Quadratic

• Cubic