# Lesson 2Floating Down the RiverSolidify Understanding

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

### 1.

Point of intersection:

### 2.

Point of intersection:

### 3.

Point of intersection:

### 4.

Point of intersection:

### 5.

Point of intersection:

### 6.

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.

What is the highest altitude reached during the trip?

### 8.

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

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.

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

Increasing

Decreasing

Maximum

Minimum

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.

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive:

Explicit:

Recursive: