How to determine the domain and range from the graphs of different functions

The video tutorial explains the concept of functions, emphasizing the importance of understanding domain and range. It introduces the vertical line test as a method to determine if a graph represents a function. The tutorial provides examples to illustrate how to identify functions and non-functions, and how to determine the domain and range of a function.

What is the relationship between the domain and range in a function?

• The domain and range are both sets of Y values.

• The domain and range are both sets of X values.

• The domain is the set of all X values, and the range is the set of all Y values.

• The domain is the set of all Y values, and the range is the set of all X values.

What is the vertical line test used for?

• To calculate the slope of a graph.

• To find the maximum and minimum points of a graph.

• To check if a graph represents a function by ensuring each X value maps to only one Y value.

• To determine if a graph is a linear function.

If a graph continues to expand to the left and right, what can be said about its domain?

• The domain is limited to positive values.

• The domain is limited to negative values.

• The domain extends from negative infinity to positive infinity.

• The domain is a finite set of values.

How is the range of a function determined from a graph?

• By identifying the set of all X values.

• By identifying the set of all Y values.

• By finding the intersection points with the X-axis.

• By calculating the slope of the graph.

If a graph has a maximum Y value of 0, what can be said about its range?

• The range is from 0 to positive infinity.

• The range is from negative infinity to 0, inclusive.

• The range is a single value of 0.

• The range is from negative infinity to positive infinity.

What does it mean if a graph does not pass the vertical line test?

• The graph represents a function.

• The graph does not represent a function.

• The graph is a linear function.

• The graph has no domain.

What is the domain of a graph that extends infinitely to the left but stops at X=2 on the right?

• Negative infinity to positive infinity.

• 0 to 2, inclusive.

• Negative infinity to 2, inclusive.

• 3 to infinity.