Understanding One-to-One Functions and Their Graphs

The video tutorial explains the concept of one-to-one functions and how to determine if a function is one-to-one using the horizontal line test. It provides examples of graphs that pass or fail this test. Additionally, the video discusses the vertical line test to determine if a graph represents a function. The tutorial concludes with an analysis of various graphs to identify their one-to-one functionality.

What is the purpose of the horizontal line test?

• To calculate the area under a curve

• To determine if a graph is a function

• To find the slope of a line

• To check if a function is one-to-one

If a horizontal line intersects a graph more than once, what can be concluded about the function?

• The function is one-to-one

• The function is not one-to-one

• The graph is not a function

• The graph is a linear function

What does the vertical line test determine?

• If a graph is a function

• If a function is continuous

• If a function is one-to-one

• If a graph is symmetric

Why can't a graph that fails the vertical line test be a one-to-one function?

• Because it is a constant function

• Because it is not a function

• Because it is a linear function

• Because it is a quadratic function

In the given examples, which graph is a one-to-one function?

• The graph in the upper left corner

• The graph on the right

• The last graph

• The graph below on the left

What is the result of applying the horizontal line test to the last graph?

• The graph is a linear function

• The graph is not a one-to-one function

• The graph is not a function

• The graph is a one-to-one function