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.DomainRangeIndependent VariableDependent Variable

Sequences (Arithmetic and Geometric)Identifying a Function Solving Linear FunctionsGraphing Linear FunctionsFour Ways to Represent a Function (Equation, Words, Table, Graph)Real-Life Function ScenariosNOTES SPACE/HELPFUL TIPS (to be filled out in class):

Study Guide/ practice“Functions Test”

Name:Date:

Sequence Rule(CommonDiff. or Ratio)WhatComes next? Arithmeticor Geometric? VariableExpression

1) -5, -3, -1, 1, 3 . . .2) 1, 3, 9, 27 . . .3) 16, 8, 4, 2, 1, . . .½

4) 2, -6, 18, -54. . .5) 10, 6, 2, -2, -6 . . .

sequences

1) Which of the following sequences is a geometric sequence? A. 1, -4, 16, -64 . . .B. 2, 4, 6, 8. . .C. 2, -2, -6, -10 . . .2) What would be the 6th term of the following arithmetic sequence?4, 1, -2, -5 . . . A. -8B. -11C. 83) Which variable term describes what would come next in the following sequence? 6, 2, -2, -6 . . . A. x + 4B. 4xC. x – 44) What is the common difference in the following arithmetic sequence?1, -4, -9, -14 . . . A. -5B. 5C. 1/5 5) What is the common ratio in the following geometric sequence?50, 10, 2, 2 /5 . . .

A. 5B. -5C. 1/5

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 _______________________________ .

Multiple Choice:

Identifying a functionFill-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?

Linear Equations(from a table . . .)Write the linear equation that represents each of the following function tables:1)

y = ________________

2)

y = ________________

3)

y = ________________

4)

y = ________________5)

y = ________________

6)

y = ________________

7)

y = ________________

8)

y = ________________

x y0 01 52 103 15

x y-1 30 41 52 6

x y-2 -5-1 -20 11 4

x y0 -11 12 33 5

x y0 41 82 123 16

x y-1 -30 01 32 6

x y-2 -5-1 -10 31 7

x y0 61 42 23 0

Which linear equation matches the following function tables?Remember the shortcut: Find the pattern

going down “y” & use the “magic #” to MULTIPLY to the “x” #!!

1) A) y = x + 1B) y = x + 2 C) y = 2x + 22) A) y = x – 3 B) y = -3x + 5C) y = x + 5 3) A) y = x – 6 B) y = x + 8 C) y = 4x4) A) y = x + 9B) y = 2x + 4 C) y = 3x + 1

x -1 0 1 2 3y 0 2 4 6 8x -2 -1 0 1 2y 11 8 5 2 -1x -2 0 2 4 6y -8 0 8 16 24x 3 6 9 12 15y 10 19 28 37 46 CAREFUL . . . Can you

use the shortcut for #3 and #4???

SOLVING Linear Equations

Solve the following linear equations:Equation Table1) y = x – 3

2) y = -3x + 4

3) x = 4y + 6

x y-1012x y-4-202

x y-24-12012

Equation Table4) y = - x + 5

5) y = 4x - 6

6) x = 2y – 4

x y-1012x y-4-202

x y-8-404

3) y = 2x - 3 4) x = y - 4

1)

2)

Graphing linear equationsSolve and graph the following linear equations: x y = 5x - 4 y-1012 x y = - x + 3 y-1012

x y-2024

x y-2024

Function representationsFill-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 Graph1) y = 3x -2

2) “y is equal to twice a number, minus four.”

3)

4)

x y

x y0 -31 02 33 6x y

x y

Multiple choice(miscellaneous)

6) 7)

8) 9)

10) 11)

12)

13)

14)

15) 16)

17) 18)

19)