Exploring Domain and Range of Continuous Graphs

The video tutorial covers the concepts of domain and range, focusing on continuous graphs. It explains how to determine the domain by scanning from left to right along the x-axis and the range by scanning from bottom to top along the y-axis. The tutorial analyzes three different graphs, discussing the implications of arrows indicating continuity and the use of symbols to represent all real numbers. It emphasizes the importance of understanding when values are included or excluded in the domain and range.

What axis do you scan along to determine the domain of a graph?

• w-axis

• z-axis

• y-axis

• x-axis

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

When scanning for the range, which direction should you move your pencil?

• Bottom to top

• Left to right

• Top to bottom

• Right to left

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What does an arrow on a graph indicate?

• The graph stops

• The graph continues

• The graph has a break

• The graph is undefined

Tags

CCSS.HSF-IF.C.7A

If a graph's domain goes from negative infinity to positive infinity, what symbol is used?

• All integers

• All negative numbers

• All positive numbers

• All real numbers

Tags

CCSS.HSA.REI.D.12

In the first graph, what is the range if the y-values stop at -2?

• y ≥ -2

• y > -2

• y < -2

• y ≤ -2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

For the second graph, what are the x-values for the domain?

• Between -3 and 3

• Between -2 and 2

• Between -1 and 1

• Between 0 and 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

In the second graph, what is the range of y-values?

• Between -2 and 2

• Between 0 and 3

• Between -1 and 1

• Between -3 and 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What does it mean if both ends of a graph have arrows?

• The graph has a break

• The graph continues forever

• The graph is undefined

• The graph stops

Tags

CCSS.HSF-IF.C.7A

In the third graph, what is the range if both arrows go up and down?

• All positive numbers

• All negative numbers

• All real numbers

• All integers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Why does the range in the first graph stop at -2 while the third graph's range continues?

• Both graphs have the same range

• The arrows in the third graph go up and down

• The first graph has a break

• The arrows in the first graph go up and down

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5