Understanding Characteristics of Functions

This tutorial covers the characteristics of functions, including how to read graphs, identify intervals, and understand maximum and minimum values. It explains the concepts of increasing, decreasing, and constant functions, as well as positive and negative intervals. The video also discusses the difference between absolute and relative maximums and minimums, and how to identify zeros or x-intercepts on a graph.

Which of the following is NOT a characteristic of functions discussed in the tutorial?

• Increasing

• Cubic

• Linear

• Decreasing

When reading a graph from left to right, what does it mean if your eyes are moving upwards?

• The graph is increasing

• The graph is constant

• The graph is linear

• The graph is decreasing

What is the term used to describe the highest point on a graph?

• Intercept

• Zero

• Maximum

• Minimum

What does a relative minimum refer to?

• The highest point in a specific section of the graph

• The highest point on the entire graph

• The lowest point on the entire graph

• The lowest point in a specific section of the graph

What does it mean if a graph has no absolute minimum?

• The graph is constant

• The graph extends infinitely upward

• The graph extends infinitely downward

• The graph does not extend infinitely

Which part of the graph is considered positive?

• Below the x-axis

• Above the x-axis

• On the y-axis

• On the x-axis

How is a negative interval on a graph defined?

• Above the x-axis

• Below the x-axis

• On the x-axis

• On the y-axis

What is the domain of a function?

• How far left and right the graph stretches

• How low the graph goes

• Where the graph crosses the x-axis

• How high the graph goes

What is another term for zeros on a graph?

• X-intercepts

• Minimums

• Y-intercepts

• Maximums

In interval notation, how would you express a range that includes all real numbers?

• (-∞, ∞)

• [0, ∞)

• (-∞, 0]

• [0, 1]