Exploring Domain and Range of Quadratic Functions

This video tutorial covers the concepts of domain and range in quadratic functions. It begins with a review of what domain and range are, explaining that domain refers to all possible x-values (inputs) and range refers to all possible y-values (outputs). The tutorial then demonstrates how to determine the domain and range from a graph, using examples of positive and negative quadratic functions. The video concludes with an example problem involving a golfer's ball trajectory, illustrating how to apply these concepts in a practical scenario.

What is the domain of a function?

• The lowest value of the function

• The set of all possible outputs or Y values

• The set of all possible inputs or X values

• The highest value of the function

How do we read the domain on a graph?

• From top to bottom

• From right to left

• From left to right

• From bottom to top

What does an arrow on the left side of a graph indicate about the domain?

• The domain is limited

• The domain extends to positive infinity

• The domain extends to negative infinity

• The domain is undefined

What is the range of a function?

• The set of all possible outputs or Y values

• The set of all possible inputs or X values

• The highest value of the function

• The lowest value of the function

How do we read the range on a graph?

• From top to bottom

• From right to left

• From left to right

• From bottom to top

For a positive quadratic function, what is the bottom border of the range?

• The lowest point of the graph

• Negative infinity

• Positive infinity

• The highest point of the graph

For a negative quadratic function, what is the top border of the range?

• Negative infinity

• The lowest point of the graph

• Positive infinity

• The highest point of the graph

In the example problem, what is the domain of the golfer's ball trajectory?

• 0 to 230

• 0 to 6

• 0 to 30

• 0 to 36

In the example problem, what is the range of the golfer's ball trajectory?

• 0 to 30

• 0 to 230

• 0 to 36

• 0 to 6

What should you focus on to determine the domain and range of a function?

• The arrows that go on forever and the vertex

• The lowest point of the graph

• The highest point of the graph

• The middle point of the graph