1. Unit 2: Functions and Linear Functions10 20 30 40 50

2. Write the equation for a line that crosses through the following points:
Category

3. Evaluate the function at f(-1):
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5. What is the domain and range of the
following function? Is the function continuous or discrete?

7. What vocabulary term is being described?
The set of all possible outputs of
a relation.

8. If the following table is to represent
a function, what are two possible
values that could fill in the blank space
in the table?:

9. In 1990, the average price of a home in
Carroll County was $90,000. By 2010,
the average price of a home was
$210,000. If this steady trend
continues, how much would we expect
a home to cost this year?
Write a function that calculates the price of a home in terms of the year to answer the question.
Define your variables and let x = 0 correspond to 1985.

10. Justify whether or not the following relationship is linear.
Is it discrete or continuous?

11. A movie theater charges $5 for a child’s ticket and $8 for each adult ticket. For one movie showing, $1200 was collected.
A.) Write a linear model that relates the number
of adult tickets to the number of child tickets.
B.) What would the x-intercept represent?
C.) Is this relationship discrete or continuous?

13. Develop a linear model that can calculate a tire’s psi given any air temperature.

14. The first row of a baseball stadium
(right behind home plate) has 2 seats
and each row after the first has two
more seats than the row before it.
There are 18 rows of seats in the section.
A.) Write an explicit function to find the number of
seats in the nth row.
B.) A group of 20 friends want to sit in the same row. What is the first row number in which the entire group can sit?

15. Determine and justify whether the following relation is a function.

16. After 4 hours of snowfall, the snow depth is 8 inches
After 4 hours of snowfall, the snow depth is 8 inches. After 6 hours of snowfall, the snow depth is 9.5 inches.
Develop a linear model that can calculate the amount of snowfall given any number of hours.
Interpret the slope in context of the problem.

17. What vocabulary term is being described?
A sequence in which there is a
common difference among any
two consecutive terms.

19. All linear functions have a domain
True or False:
All linear functions have a domain
of all real numbers.

20. Write a linear function that can model the relationship in the table below:

21. Determine the domain and range of the following function:

22. Describe what happens to the graph of an linear function when
the slope goes from being positive to being negative.

23. A linear function with a zero slope is a vertical line.
True or False:
A linear function with a zero slope is a vertical line.

24. Develop an explicit function that
could generate any term in the sequence below:

25. A container of 1775 cubic centimeters of water is leaking at a rate of 10 cubic centimeters per minute.
Develop a linear model that can calculate the amount of water in the container at any given minute.
About how many minutes will it take for the
container to be empty?