Understanding Functions and Their Properties

Mrs. Lemke presents a three-part lesson on functions, covering domain and range, function behavior (increasing, decreasing, constant), and symmetry (even and odd functions). The lesson includes practical examples and encourages students to apply concepts using interval notation and graphical analysis.

What is the main focus of the lesson introduced by Mrs. Lemke?

• Geometry concepts

• Vocabulary related to functions

• Statistics and probability

• Algebraic equations

Which of the following is NOT a part of the lesson's focus?

• Increasing and decreasing functions

• Domain and range

• Symmetry in functions

• Trigonometric identities

In the context of functions, what does the domain refer to?

• The symmetry of the function

• Possible output values

• Possible input values

• The slope of the function

What is the range of a function?

• The set of all possible input values

• The symmetry of the function

• The set of all possible output values

• The slope of the function

How can you remember the difference between domain and range?

• Domain is about x, range is about y

• Domain is about y, range is about x

• Domain is about output, range is about input

• Domain is about input, range is about output

What does an open circle on a graph indicate in terms of domain or range?

• The function is increasing

• The value is not included

• The function is decreasing

• The value is included

What is the interval notation for all real numbers?

• [0, ∞)

• (-∞, 0]

• (-∞, ∞)

• [0, 1]

What does it mean if a function is increasing?

• The y-coordinates are getting smaller

• The y-coordinates are getting larger

• The x-coordinates are getting smaller

• The x-coordinates are getting larger

What is the term used when a function's y-values remain constant over an interval?

• Constant

• Decreasing

• Variable

• Increasing

What does a positive slope indicate about a function?

• The function is increasing

• The function is constant

• The function is decreasing

• The function is undefined