Lesson 2 Floating Down the River Solidify Understanding

Ready

Graph each set of linear equations on the same set of axes. Name the coordinates of the point where the two lines intersect.

1.

a blank coordinate plane

Point of intersection:

2.

a blank coordinate plane

Point of intersection:

3.

a blank coordinate plane

Point of intersection:

4.

a blank coordinate plane

Point of intersection:

5.

a blank coordinate plane

Point of intersection:

6.

a blank coordinate plane

Point of intersection:

Set

For each graph and description do the following:

  • use interval notation to state where the function is increasing or decreasing

  • state the minimum or maximum if the function has them

  • write the domain and range of the function using interval notation

  • respond to the context-based question

7.

Context: Altitude in thousands of feet during a trip up and down a mountain.

A continuous graph on a coordinate grid with the horizontal axis labeled “hours.” The vertical axis is labeled “Altitude (in thousands of feet).” hours555101010151515202020Altitude in thousands of feet555101010000

What is the highest altitude reached during the trip?

8.

Context: The distance from the shore line of a fishing boat over time.

A continuous graph on a coordinate grid with the horizontal axis labeled “hours.” The vertical axis is labeled “Miles.” hours555101010151515202020Miles555000

During which part of the fishing trip was the boat most quickly approaching the shore?

9.

The energy level of the tesseract over time in the latest science fiction movie.

A continuous graph on a coordinate grid with the horizontal axis labeled “x.” The vertical axis is labeled “y.” x555101010151515202020252525y555101010000

When is the change in the energy level increasing?

10.

Consider the table of values that represents a continuous function which models the amount of water in the tank that supplies drinking water to a town. Based on the information in the table determine the desired intervals and answer the questions.

Time, hours

Water Level, feet

a.

Increasing

b.

Decreasing

c.

Maximum

d.

Minimum

e.

Domain

f.

Are you completely certain that your responses above would be the actual values for the water level? If so, why? If not, why not?

Go

Write equations for the given tables in both recursive and explicit form.

11.

Explicit:

Recursive:

12.

Explicit:

Recursive:

13.

Explicit:

Recursive:

14.

Explicit:

Recursive:

15.

Explicit:

Recursive:

16.

Explicit:

Recursive: