Lesson 2 Floating Down the River Solidify 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:
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 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?
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: