1. TOPICS COVERED ON “Functions” TEST:
Study Guide/ practice
“Functions Test”
Name:
Date:
Note: The pages in this packet are meant for additional practice. Students are NOT
expected to complete every problem in the packet. Rather, students should use these pages as a resource-- in addition to studying the notes and past quizzes. It is suggested that students complete several problems from each of the following pages in order to be fully prepared for test.
TOPICS COVERED ON “Functions” TEST:
Vocabulary:
Function-- a special type of relation where every member of the Domain is paired with exactly __________member of the Range. In other words, there can never be a repeating __________ value in the same relation.
Domain
Range
Independent Variable
Dependent Variable
Sequences (Arithmetic and Geometric)
Identifying a Function
Solving Linear Functions
Graphing Linear Functions
Four Ways to Represent a Function (Equation, Words, Table, Graph)
Real-Life Function Scenarios
NOTES SPACE/HELPFUL TIPS (to be filled out in class):

2. sequences Sequence Fill-in-the-Blanks:
An arithmetic sequence is a sequence where the next term is found by either adding or __________________________________ by the SAME #, and the “rule” for determining what comes next is described as the common _______________________________ .
A geometric sequence is a sequence where the next term is found by either multiplying or __________________________________ by the SAME #, and the “rule” for determining what comes next is described as the common _______________________________ .
Sequence
Rule
(Common
Diff. or Ratio)
What
Comes next?
Arithmetic or
Geometric?
Variable
Expression
1) , -3, -1, 1,
2) 1, 3, 9,
3) , 8, 4, 2, 1, ½
4) , -6, 18,
10, 6, 2, -2,
Multiple Choice:
1) Which of the following sequences is a geometric sequence?
1, -4, 16,
2, 4, 6,
2, -2, -6,
2) What would be the 6th term of the following arithmetic sequence?
4, 1, -2, -8
-11 8
Which variable term describes what would come next in the following sequence?
6, 2, -2,
x + 4 4x
x – 4
What is the common difference in the following arithmetic sequence?
1, -4, -9, -5 5
C /5
What is the common ratio in the following geometric sequence?
50, 10, 2, 2 /
1/5

3. Identifying a function
Fill-in-the-Blanks:
A function is a special type of ______________________________________ where every member of the Domain is paired with exactly __________member of the Range. In other words, there can never be a repeating ______________________ value in the same relation.
1. Which of the following relations is not a function?
2. Which of the following relations is a function?
3. Which of the following is NOT a function?
4. Which of the following is a function?
5. Which of the following is NOT a function?

4. CAREFUL . . . Can you use the shortcut for #3 and #4???
Linear Equations
(from a table . . .)
Write the linear equation that represents each of the following function tables: 1)
y = ________________ 2) 3) 4) 5) 6) 7) 8) x y 1 5 2 10 3 15 x y -1 3 4 1 5 2 6 x y -2 -5 -1 1 4 x y -1 1 2 3 5 x y 4 1 8 2 12 3 16 x y -1 -3 1 3 2 6 x y -2 -5 -1 3 1 7 x y 6 1 4 2 3
Remember the shortcut: Find the pattern going down “y” & use the “magic #” to MULTIPLY to the “x” #!!
Which linear equation matches the following function tables? 1)
y = x + 1
y = x + 2
y = 2x + 2 2)
y = x – 3
y = -3x + 5
y = x + 5 3)
y = x – 6
y = x + 8
y = 4x 4)
y = x + 9
y = 2x + 4
y = 3x + 1 x -1 1 2 3 y 4 6 8 x -2 -1 1 2 y 11 8 5 x -2 2 4 6 y -8 8 16 24 x 3 6 9 12 15 y 10 19 28 37 46
CAREFUL Can you use the shortcut for #3 and #4???

5. SOLVING Linear Equations
Solve the following linear equations:
Equation
Table
y = x – 3
y = -3x + 4
3) x = 4y + 6
Equation
Table
4) y = - x + 5
5) y = 4x - 6
6) x = 2y – 4 x y -1 1 2 x y -1 1 2 x y -4 -2 2 x y -4 -2 2 x y
-24
-12 12 x y -8 -4 4

6. Graphing linear equations
Solve and graph the following linear equations: 1) 2) x
y = 5x - 4 y -1 1 2 x
y = - x + 3 y -1 1 2
3) y = 2x - 3
4) x = y - 4 x y -2 2 4 x y -2 2 4

7. Function representations
Fill-in-the-Blanks:
There are _____________________________ ways to represent a function. We can use an equation, words, a table, or a graph. If we are given one representation, we can use that information to find the other three ways to represent the function.
Equation
Words
Table
Graph 1)
y = 3x -2 2)
“y is equal to twice a number, minus four.” 3) 4) x y x y x y -3 1 2 3 6 x y

8. Multiple choice
(miscellaneous)

9. 6) 7) 8) 9)
10)
11)

10. 12)
13)
14)

11. 15)
16)
17)
18)
19)