Name __________________________________ Period ______
Sec 1 – Chapter 1
Test Review
Read each scenario and identify the independent and dependent quantities. Be sure to
include the appropriate units of measure.
1. The Elkwood Aquatic Society is working with various reptile species to increase their populations.
In their latest effort, the initial population of 450 endangered turtles tripled each year for the past five
years.
 Independent quantity: time (years)

Dependent quantity: number of turtles (population)
2. Gillian is playing video games at an arcade. Gillian starts with $40 and is playing games that cost
50 cents per game.
 Independent quantity: number of games played

Dependent quantity: money spent (dollars)
3. Julian works as a salesman for a textbook company. He receives a monthly salary of $3000 as
well as a 10% commission on the amount of sales.
 Independent quantity: month / monthly sales

Dependent quantity: earnings / income
Compare each pair of graphs and describe any similarities and differences you notice.
4.
5.
Continuous, functions, both increasing. One is
straight, the other curved.
6.
Both are continuous, decreasing, and functions
One is curved, the other is straight.
Both are continuous, functions, made up of straight lines.
One is linear absolute value, the other piecewise.
Sort the graphs using the characteristics provided.
7. Classify each graph as continuous or discrete.
Continuous: A C D E G
Discrete: B F H
8. Classify each graph as a function or non-function.
Functions: A C D E F G H
Non-functions: B
9. Identity the linear functions. C H (B is not a
function.)
10. Identify the functions that show vertical symmetry.
EF
11. Identify the graphs that pass through exactly one
quadrant. A
12. Identify the graphs that pass through all four
quadrants. E G
13. Identify the function family of a graph that is made up of a smooth curve that either increases or
decreases, and has no absolute maximum or absolute minimum.
Exponential Function
14. Classify each function as increasing, decreasing, or constant.
2
a. 𝑓(𝑥) = 5 𝑥 − 1 increasing
b. 𝑓(𝑥) = −4𝑥, 𝑤ℎ𝑒𝑟𝑒 𝑥 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 decreasing
c, 𝑓(𝑥) = 2𝑥 increasing
d. 𝑓(𝑥) = 3 constant
15. Classify each function as a linear function, a linear absolute value function, a quadratic function, or an
exponential function.
a. 𝑓(𝑥) = |𝑥 + 5| − 3
b. 𝑓(𝑥) = 3𝑥
linear absolute value
exponential function
c. 𝑓(𝑥) = 3𝑥 2 − 4𝑥 + 1
d. 𝑓(𝑥) = −2𝑥 + 7
quadratic function
linear function
16. Determine whether each function has an absolute maximum or absolute minimum. If the graph has
neither an absolute maximum nor an absolute minimum, write none.
a. 𝑓(𝑥) = 2𝑥
b. 𝑓(𝑥) = 2|𝑥 − 5|
none
absolute minimum
−2
c. 𝑓(𝑥) = 3 𝑥 + 4
d. 𝑓(𝑥) = 𝑥 2 − 9
none
absolute minimum
17. Sketch a graph of the given situation.
Jane is playing fetch with her dog. During one of the throws, the Frisbee leaves her hand and is in the
air for a few seconds. The Frisbee reaches a maximum height of 16 feet above the ground. Then the
Frisbee is caught by her dog.
16
14
12
10
8
6
4
2