Domain and Range Word Problems

2.4
LESSON

Domain & Range Applications

Let's Review 2.1

Function

• A pairing of inputs (x-values) with outputs (y-values)

• Can be represented as a:

  • table

  • graph

  • set of ordered pairs

  • mapping

Relation

• A relation where each input has exactly one output

• X-values do not repeat

• Graph passes the Vertical Line Test

• Points on a graph are connected

• Can include halves (in between values)

• Examples: time, weight

Continuous

• Separate values (dots on a graph)

• Only certain values can be used (limited/restricted)

• Examples: tickets, people

Discrete

2.2 Review

2.3 Review

• All the y-values in a relation or function

• Read graph from BOTTOM to TOP

Range

• All the x-values in a relation or function

• Read graph from LEFT to RIGHT

Domain

Now, let's apply what we already know to word problems.

Real-World Domain & Range

Multiple Choice

The graph shows the depth of a shallow creek over time.

When did the measurements of the creek start?

• 0 days

• 8 days

• 0 cm

• 24 cm

Multiple Choice

The graph shows the depth of a shallow creek over time.

When did the measurements of the creek end?

• 0 days

• 8 days

• 0 cm

• 24 cm

Multiple Choice

The graph shows the depth of a shallow creek over time.

What was the starting level of the creek?

• 0 days

• 8 days

• 0 cm

• 24 cm

Multiple Choice

The graph shows the depth of a shallow creek over time.

What was the ending level of the creek?

• 0 days

• 8 days

• 0 cm

• 24 cm

Multiple Choice

The graph shows the depth of a shallow creek over time.

What is the domain of the situation?

• $$0\le y\le24$$

• $$0<y<24$$

• $$0<x<8$$

• $$0\le x\le8$$

Multiple Choice

The graph shows the depth of a shallow creek over time.

What is the range of the situation?

• $$0\le y\le24$$

• $$0<y<24$$

• $$0<x<8$$

• $$0\le x\le8$$

Multiple Choice

What is an appropriate domain for the graph of Jack's toy rocket?

• All real numbers
• $$0\le x\le8$$

• $$6\le x\le0$$

• $$0<x<8$$

Multiple Choice

What is the range for the graph of Jack's toy rocket?

• All real numbers
• $$0\le y\le9$$

• $$8\le y\le9$$

• $$0\le y\le12$$