Determining Functions: A Comprehensive Assessment

The video tutorial explains how to determine if a relation is a function or not. It introduces the concept of functions, where each x-value has a unique y-value, and non-functions, where an x-value can have multiple y-values. The vertical line test is presented as a method to identify functions on a graph. Examples are provided using graphs, ordered pairs, and tables to illustrate the concept. The tutorial concludes with a recap of the methods to identify functions, emphasizing the importance of non-repeating x-values.

What defines a function in terms of x and y values?

• One x-value for multiple y-values

• Multiple x-values for one y-value

• One x-value for one y-value

• Multiple x-values for multiple y-values

Which of the following is NOT a function?

• Each x-value maps to a unique y-value

• Each y-value maps to a unique x-value

• An x-value maps to multiple y-values

• No x-values are repeated

What is the vertical line test used for?

• To determine if a graph is linear

• To check if a graph represents a function

• To find the slope of a graph

• To identify the y-intercept of a graph

If a vertical line crosses a graph at more than one point, what does it indicate?

• The graph is a function

• The graph is quadratic

• The graph is not a function

• The graph is linear

In the vertical line test, what does it mean if the line touches the graph at only one point?

• The graph is not a function

• The graph is a function

• The graph is a circle

• The graph is a parabola

When using ordered pairs to identify functions, what should you look for?

• Unique x-values

• Repeated x-values

• Unique y-values

• Repeated y-values

Which of the following ordered pairs indicates a non-function?

• (1, 2), (2, 3), (3, 4)

• (1, 2), (1, 3), (2, 4)

• (0, 1), (1, 2), (2, 3)

• (2, 3), (3, 4), (4, 5)

In a table format, what indicates that the data does not represent a function?

• Unique x-values

• Repeated y-values

• Repeated x-values

• Unique y-values

What is the key point to remember about x-values in functions?

• Y-values can be repeated

• X-values can be repeated

• X-values must be unique

• Y-values must be unique

What is the main takeaway from the vertical line test?

• It checks for repeated y-values

• It checks for repeated x-values

• It ensures the graph is a function

• It ensures the graph is linear