Exploring Domain and Range of Continuous Graphs

The video tutorial covers the concepts of domain and range in continuous graphs. It begins with an introduction to these concepts, explaining the difference between continuous and discrete graphs. The tutorial then provides techniques for finding domain and range using inequalities and visual aids like sticky notes. Several examples are given to illustrate these techniques, and students are encouraged to practice with provided problems.

What is the main difference between continuous and discrete graphs?

• Continuous graphs have distinct points.

• Discrete graphs have lines and curves.

• Continuous graphs have lines and curves, while discrete graphs have distinct points.

• Discrete graphs show more points than continuous graphs.

How can you find the domain of a continuous graph?

• By plotting all points on the graph.

• By scanning your pencil from left to right over the x-axis.

• By using a ruler to measure the graph.

• By scanning your pencil from top to bottom over the y-axis.

What does the range of a graph represent?

• The length of the graph.

• All possible y-values.

• The width of the graph.

• All possible x-values.

If a graph has arrows pointing up, what does it indicate about the y-values?

• The y-values are limited.

• The y-values are negative.

• The y-values go infinitely upwards.

• The y-values are zero.

For a graph with a domain of all real numbers, what symbol is used to represent this?

• A fancy R.

• A fancy Y.

• A fancy D.

• A fancy X.

In a graph where the domain is between -3 and 3, how is this represented?

• x ≤ -3 and x ≥ 3

• x ≥ -3 and x ≤ 3

• x > -3 and x < 3

• x < -3 and x > 3

What does a closed dot on a graph indicate?

• The value is included.

• The value is zero.

• The value is not included.

• The value is infinite.

If a graph has a range of all real numbers, what does it mean?

• The y-values are limited.

• The y-values are negative.

• The y-values cover all possible values.

• The y-values are zero.

In a graph where the range is between -3 and 3, how is this represented?

• y > -3 and y < 3

• y ≤ -3 and y ≥ 3

• y < -3 and y > 3

• y ≥ -3 and y ≤ 3

What should you do after completing the exit ticket?

• Start on the next video.

• Turn in the exit ticket and start on the practice packet.

• Ask the teacher for more sticky notes.

• Leave the classroom.