I Name: A nswetr.S EOC review Day 1 Functions (IF, BF, LE)

IF 1. Determine if this is a function and list the domain and range.

FunctiorQor N

IF 2. The Lucky Cell Phone Company advertises phone services for 15 cents per minute plus a monthly fee of $25. Write an equation using function notation that models the total cost for using the phone.

Domain: f.-1 ,0.1, 2. .1-] f/x)==./6t-t?.6 Range: tylfl\

Predict the total cost after a~: $?-lo. 10

IF 4. Interpret the Characteristics

Maximum: ( OO , C5o) Minimum: ( I 1 - 4) End Behavior: X, 4 - C1'J 1 Oo 'I,. 1 00 • 4 00

Axis of Symmetry: 'A -== I Domain: ( - 00, 00) Range: [ - '-l 00) Asymptote: NA F(4) = 5 Intercepts: f -I 1 3 ( 0 ;3) Increases: [ I , e,O ) Decreases: - 00 I J

,_. 1·

l::r=t= -.µ-: tt m~- -H-

y

l - - t:-- -- < I r-., - - --t-I , __ -- -l- ,M-j ) ~ 1 - 1 J 1,ffi wf ___ ,_ ·:;- it i -

- 1- ,- • ·- - ·-~ - r ~- ..--1- r, t-

IF S. Which of the following functions has the values of its range decrease as the values in its domain increase?

IF 6. What is the average rate of change of the function in the table at the interval x = -1 to X = 1?

A. +) =½(3t ©h{x) =OJ-'

C. g(x) = 3.5' D. f(x)= 3-'

X

f{x)

t -2

-5

-1 0 1 2 3

-1 3 7 11 15

IF 7. Write in standard and vertex form / IF 8. The profit a coat manufacturer makes Y fJ= ( X - j) ;i. - Lj each day is modeled by the equation

Hr:;:+ :;::-;:r.:r:::;:l·~;.'2] _'.__~---· P(x) = -x2 + 120x - 2000. where P is the profit -"-,=fE-:P:: -::::-~ 2 I - 11 and x are the price for each coat sold. For ·-: J - • ...... 1--- - _,.i· --. " " - 'f.. -t T what values of x does the company break

· · . ...._ .. ..... , even, where P = O?

~-~:_· I~ ·-----. -110-±{14 400-Lj(-1)(-,1,000) .. -- ·:r- r:J;/::-)(.2--21-~ J.( - 1) --- --- --,---,I~---~ -1:io± {(pi.too

·~ :;~[ -:-=r.~ it: I I ·t+I-+-i - ,., -L,:. _.___.L.. .,__ ~-- /"\

-11-0 ! 00 - 7- [io, too

I

IF 9, Timothy is investigating the quadratic IF 3. (True or False) function f(x} and the linear function g(x). He claims that the two functions have the

IAII SequencP.ilare functions, whose domain is

same y-intercept and the same value a set of natural numbers. when x=4. Complete the table for g(x) for the case where Timothy is correct. 8 Quadratic function: f(x)=2x2+6,Ej)

• Linear function a x): ( ) 'J. (§ ( ) - I

)(, s()(.) 7, 1..1 + '1 0 i 4 S-5

E'f uations (NQ, CEO, REI)

NQ 1. Gary is weeding his vegetable NQ 2. A student is comparing the population

garden. Ll5'.fel . l~n ,< ,75 and land area of three different states. &,ose.c, Complete the table by filling in the • It takes him 45 seconds to weed 3 square

population density, in people per square mile. Round each value to the nearest whole.

feet. • The vegetable garden is in the shape of a

rectangle that is 4 yards by 6 yards. Population Land Area Population

(sa. mi.) Density

How many MINUTES will it take Gary to weed 38,333,000 155,800 2 41o

his entire vegetable garden? 26,288,000 261,200 lO I

1-'-I :i4': .?fr O 17.' :7 5 19,651,000 47,100 41,

I ;f4' S'4h'11n NQ 3. For each row. choose the BEST level of CEO 1. A scientist started with a sample of 8 accuracy for each item. assuming that each cells. The sample increased as shown in the unit of measurement can only be used once. table.

Item Nearest Nearest Nearest 1¢ $1 $1000

1Jjne . i Ll Nuanberof h ; ..,_._a.,- -•

cup of , _:'"· A. 8-,4 = 100.000

'A Coffee 0 8 B. 4 • s' .. 100.000 New car 1 32 © 8 -4'=100,000 New '/-. 2 128 D. 4 · r8 = 100. 000 Computer 3 512

Assume that the pattern in the table continues. Which equation can be solved for t. the time in hours when the number of cells will reach 100.000?

t

CED 2. Rosie needs to buy balloons and tablecloths for her party. Each balloon costs $1.50 and each tablecloth costs $2.25. She cannot spend more than $30.00 on balloons and tablecloths for the party. Write an inequality to represent the possible number the balloons and tablecloths that Rosie can buy. Let 'x' represent balloons and and 'y' represent the tablecloths.

l .50~ + i .25~ L 30. 00 CED 4. Solve form.~

P= S(m+lO)

A. m=5P-50 @ m= PSSO B. P-5 D. p m=- m= 5 -SO 10

Expressions (RN, SSE, APR)

RN 2. Given simplify the expression. L-j ITT -t (p Ji0

I c, 'lJ q'\z l&'~

STAT (ID)

ID 1. Kelly recorded the height of each of her classmates in .inches.

Create a dot plot to represent this data.

CED 3. Which point does not satisfy the systems of inequalities?

.T

G) (-1,-1) I/

I/ B. (1, -2) 5 / " C. (0, -2)

I/ D. (-3, -4) " I/ II

',/

p := 5vY1 -t 5'0 P- SD "S° YYl

RN 3. Choose the correct statement. Consider the sum of 3Jsaru1z./is.

@ The sum of two irrational numbers is irrational. B. The sum of two Irrational numbers is rational. C. The sum of one rational number and one

irrational number is irrational. D. The sum of one rational number and one

Irrational number Is rational.

, . . . , . - . . . ...... "' ... -.. 4• I ' I I I I I I I lP D ~i (py fiJ' wfb 10 11- 1 Y

•

\ ID 2 . There ore 16 girts and 16 boys in Mr. True False Holiday's -1th period gym class. Each student was asked to do as many sit-ups as they The mean ot the number ot sit-could in 30 seconds. The results are recorded ups tor the boys Is greater than on the bar graph below. the mean of the number ot stt-

ups for the girls.

js The median of the number of Bov, l stt-ups tor the boys Is greater '15 3

l1 than the median ot the number I I ot stt-ups tor the girls. I ll I 3 4 S 6 7 8 9 10 The range of the number of sit-Number cl Sit-Ups In 30 s«onds

ups for the boys Is greater than the range of the number of sit-

Which of these statements comparing the ups tor the gils. data for the girls and the boys are true?

The Interquartile range of the Decide if each statement is true or false. Select either True or False next to each number of sit-ups for the boys Is statement. greater than the Interquartile

range of the number of sit-ups for the girts

ID 3. Ages of boys on the baseball team are ID 5. Which statement is true? shown in the dot plot. tn e£t-h = 11.. Favorite Dog Breeds

Lab I Terrier Poodle I Other Total • Male 1s l 22 6 I 28 74 • • • Female 14 I 26 8 I 12 60 • • • • • Total 32 I 4a 14 I 40 134 @ The number of males who chose a 8 10 12 14 16 breed labeled as Other is more than

Ages two times that of females who chose Other.

A new boy who is 8. has joined the team. B. More people chose Labs than any Determine what will happen to the following other breed. data. C. The breed of Labs has the least

difference between male and female Increase same Decrease selectors.

Mean ;,< D. Over half of the respondents preferred Median "f-- Terriers. MAD X