Understanding Function Types and Features

This video tutorial covers the five main types of functions encountered in Algebra 1: linear, quadratic, exponential, absolute value, and radical functions. Each function type is explained with its key features, visual representation, and corresponding equations. The tutorial emphasizes understanding the characteristics that define each function type and provides examples to aid in identification and comprehension.

Which of the following is NOT a type of function covered in Algebra 1?

• Exponential

• Linear

• Quadratic

• Cubic

What is the key feature of a linear function?

• It is V-shaped.

• It has a start point.

• It is a straight line.

• It forms a U-shape.

Which equation represents a linear function?

• y = x^2 + 2x + 3

• y = |x| + 2

• y = 3^x

• y = 5x + 2

Which function type can have a vertical or horizontal line?

• Linear

• Radical

• Exponential

• Quadratic

What is the equation form of a linear function?

• y = 3^x

• y = x^2 + 2x + 3

• y = mx + b

• y = |x| + 2

Which function type is characterized by a constant rate of change?

• Quadratic

• Radical

• Linear

• Exponential

Which function type is characterized by having no exponents in its equation?

• Linear

• Quadratic

• Radical

• Exponential

What is the shape of a quadratic function?

• Straight line

• V-shape

• U-shape

• Flat line

Which of the following is a characteristic of quadratic functions?

• They start flat and explode.

• They open sideways.

• They have a start point.

• They have an exponent of 2.

Which equation is an example of a quadratic function?

• y = 2^x

• y = √x + 2

• y = x^2 + 2x + 3

• y = |x| + 2