Unit Test Study Guide Name: --------------- (Relations and ...

[Pages:8]Unit ! Test Study Guide

(Relations and Functions)

Name: ---------------

Date: ---------- Per: ----

Topic 1: Relations &. Functions

Directions: Identify the domain and range of each of relation. Then, determine whether the

relation is a function.

l.

2.

3.

X

y

-4 8

{(-6, 4), (5, -1 ), (O, 3), (-2, 4)}

-3 l

o -5

-3 2

Domain: Range: Function?

4.

'

Domain:

Range:

Function?

5.

X

y

o

~ 2

4- ..-e---->- 3

-- 9 - 4 5

Domain:

Range:

Function?

6.

X

y

-4 -1 ---- -3

o

, 8

7

Domain:

Range:

Function?

7.

I

\ ,

~

I

'

I I'

I

I

I

I

'

~

.

Domain:

Range:

Function?

Domain:

Range:

Function? 8.

.,,

V V

/

,,

/

/

' V

,,

Domain: Range: Function? 9.

'

Domain: Range: Function?

Domain: Range: Function?

' /

I

\

,,

\

J

' /

Topic 2.: Real World Graphs

Directions: Choose the graph that best represents each situation.

1 O. Corinna is riding a horse on a carousel.

Which graph best represents her

distance from the center of the ride in a single rotation?

-le!

uGI

_Eg

GI

u e

.E ?"'

GRAPH A

11. A cup of hot coffee cools down until it reaches room temperature. Which graph best represents the temperature of the coffee?

GI

:5 ?;?;

0.

E

..G..I

Time

GRAPH A

GRAPH B

;?; ? uGI

_Eg

GI

u e

~ ?

Time

GRAPH B

GI

:5 ?;?;

0.

E

..G..I

12. Mitch went for a hike. He got halfway

up the mountain and realized he had

dropped his compass. He turned

around and walked back. He found

the compass at the point he had

GI

started the hike. He picked it up, then eu

hiked to the top of the mountain.

.E ?"'

Which graph best represents the total

distance he hiked?

Time

GRAPH A

Time

Topic 3: Equations as Functions/Graphing Functions using Tables

Directions: Complete the table, then graph the function.

13. y= -2x+ 5

'~

14.

y

3

=-x-1

2

Time

GRAPH B

GI

e u

.E ?"'

Time

X

y

o

l

3

5

X

y

-

-2

,

o

2

4 ,v

- ,

,

15. Find the range of the function y=~ x + 17 4

when the domain is {-12, -4, 8}.

16. Find the range of the function y= -x2 - 3x when the domain is {-5, O, 2}.

Topic 4: Function Notation Directions: For questions 17-22, find the function values using the given functions below.

f(x)=5x-20

g(x) = x2 + 5x-11

h( x) = I 2x + 7 I

17. /(6)

18. g(-3)

19. h(-8)

20. g(7)-15

21. -4 ? h(-13)

22. /(-1) + g(-2)

23. Given f(x) = 5- 3x, if f(x) = -19, find x.

24. Given g(x) = ~x -1, if g(x) = -16, find x.

2

Use the graph below for questions 25-28.

f(xl '\

'\

\ I\

\

I\

X

' '\

\ I\

\

25. Find /(-6). 26. Find /(O).

27. If f(x) = -5, what is x? 28. If J(x) = 4, what is x?

Topic s: Zeros

Directions: Identify the zeros of each function.

29.

ftxl

30.

fix)

I

I

.

? I

:/

I '

J

I

I

I

I

.1

_l.

31.

X

Directions: Find the zero(s) of each function algebraically.

32. f(x) = 8x - 16

33. f(x)=-10--2 x 3

f, ,: )

I/ \

I

\

I

\

'

I I

I\. J

Directions: Find the zero(s) of each function graphically.

34. f(x) = -x2 -lx-10

35. f(x) = x4 -8x3 + 5x2 + l 4x

Topic 6: Arithmetic Sequences

36. Write a formula for the sequence below, then find ais.

{5, 3, 1, -1, ...}

36. Write a formula for the sequence below, then find G34.

{-2, 5, 12, 19, ... }

Use for questions 37-38: Tabitha started working at a coffee shop making $8.75 per hour. Every six

months, she gets a $0.40 raise.

37. Write a formula to represent her hourly wage after each raise.

39. Find her hourly wage at 3 years.

Unit j. Test Study Guide

(Relations and Functions)

Name: Jll..e,p

I ? IO Date: lO

Per:

_

Topic 1: Relations & Functions

Directions: Identify the domain and range of each of relation. Then, determine whether the

relation is a function.

1.

2.

3.

X y

-4 8

{(-6, 4), (5,-1), (O, 3), (-2, 4)}

-3 1

o -5

-3 2

t -{, 1 Domain:

I -2 I O 1 ~

Range: \-\I 3 I '13

Function? '\ f.S

4.

Domain: t-1.\.-3,oJ

Range: \ .. 5 I \ ? 2 I ? ~

No Function?

5.

X

y

o+- ~2

'

-- 4- ..,:.-+ 3 4

9 5

Domain: t-G, ?31 O 1 216f

Range: \-3,L2\3l

Function? 'I{$

6.

X

y

- -~ -4

-1

-3

o

7

--

8

J Domain: ?-3 .-2 I 2, 4

t-s, Range:

-&.-\,o I t,7

Function? }\l? 7.

I

Domain: lD,'-Lq]

Range: '{ 2,.\ g J &.\ I 5 \

Function? 8.

~o ,,

/

~

I '

I

'

~

A\\ Domain:

'(/.?l #$

(i.)

Range: \.\=~

'\es Function?

/ /

V

I

Domain: X' -S Range: i ., -\ Function? 'ltS

Domain: \ -q ,-l, o, 71

t 3 Range: -?>, ~

~es Function?

9.

,r .....

I '

\

)

"" _,,

~s DfX Domain:

Range: -L\ l: '\ b 3 ND Function?

Topic 2.: Real World Graphs

Directions: Choose the graph that best represents each situation.

1 O. Corinna is riding a horse on a carousel.

Which graph best represents her

distance from the center of the ride in

a single rotation?

i

Cl

V

6

g E

gCueoli

GRAPH A

11. A cup of hot coffee cools down until it

reaches room temperature. Which

graph best represents the temperature

of the coffee?

!!

:i

?

?

Cli D.

E

~lii

GRAPH A

12. Mitch went for a hike. He got halfway

up the mountain and realized he had

dropped his compass. He turned

around and walked back. He found

the compass at the point he had started the hike. He picked it up, then

ouelii

hiked to the top of the mountain.

~

Which graph best represents the total

distance he hiked?

A

Time

GRAPH A

Time

Topic J: Equations as Functions/Graphing Functions using Tables

Directions: Complete the table, then graph the function.

13. y= -2x+5

X

y

o 5 , '

l 3

_,

3

5 -s

~?

' \

'

\

\

" \

. -

\

' \ \

lt

~

14. y= 23 x-1

X

y

-2 -~

o -1

2 2

4 5

GRAPH B

i

oGI

g E

GueoI

?-=

Time

GRAPH B

!

:i

~

Cl D.

E ~Cl

Time

GRAPH B

-=Coueli

?

Time

~

1'

V

I

/ I

.

V

, I

I/

I V

~

V

15. Find the range of the function y = ~ x + 17 4

when the domain is {-12, -4, 8}.

'X 1 '(

-\l. CZ

-i.t \'-\

f)2 -t-6(--3) -\l

~ q - \6 -1 \

= till

19. h(-8)

\ 2.l-i) t1 \

l \ -\" .1i1

\ -'\ l =BJ

20. g(7)-15

12.-\- 5(1) -\l -\S

=4'\ -t3S -\l -15

=?

21. -4 ? h(-13)

-L\ \ 2(-13) -t1 \

-a.\ \-lq \

\-1 l -"\U~) =

\?,

22. /(-1) + g(-2)

SC-\)-2.0 -4- (-2) 2 tS(-2.) ? li

= -s -20 + '.f -ID -li

=f42J

23. Given f(x} = 5 - 3x, if/{x) = -19, find x.

-\'1=5-3x

- 2'4 = -3.x

[)(=~1

Use the graph below for questions 25-28.

llxl

'\

' I\

'

?

' '

' '

'

% 24. Given g(x) = x - 1, if g(x) = -16, find x.

-Ilo =.52.-..x-1

!s..?-\S=fx ??

[x= -~}

25. Find /(-6).

7

26. Find /(O}.

-2

27. If f(x) =?5, what is x?

2

28. If f (x) = 4, what is x?

-4

Toplc s: Zeros

Directions: Identify the zeros of each function.

29.

Ox>

30.

ft1l

31.

hl

j

f

j

I

?

j I

j I

X -=--5

I ,

"

I

l

l

IJ

.L

)(:: l.-\ ,3)

?

'

j

\

I

",

J

'X= 10,2,1}

Directions: Find the zero(s) of each function algebraically.

32. f(x) = Bx-16

i~-\lo =O iX-=-llo

33. J(x) = -10--2 x

3

-10 - 16:- X -=-O

t~~2]

-.;.x=tc

3

l )(c:-\S

Directions: Find the zero(s) of each function graphically.

34. f(x)=-x2-7x-10

35. J(x) = x4 -8x3 + 5x2 + 14x

t=t-s. -2 J

t y._-::. -\I[) I 2 '1)

Topic 6: Arithmetic Sequences

36. Write a formula for the sequence below,

then find ais.

~,=s

{5, 3, 1, -1, ...}

?: ?2

?":: -2Ln-,) +s :: -2n t2-tS =r-2Vl-t7]

Q1c? = -llli)t 1

= t- 2~

36. Write a formula for the sequence below,

then find OJ4.

Q '-:. --2

{-2, 5, 12, 19, ...} cl =- 1

llv1 = 7 lr.-1)-2

= 1n-1-2

=-\1n-~J

I22~ ~"': 1(3'?4 = J

Use for questions 37-38: Tabitha started working at a coffee shop making $8.75 per hour. Every six

months, she gets a $0.40 raise.

37. Write a formula to represent her hourly wage after each raise.

CAV':: O .I.\O(n-\) -\o 9. \ 5

= o An -O.i,\ -t 9. IS

39. Find her hourly wage at 3 years. rr=-1,

E?\\. D.'-\ U,) ti. 1~

\SJ

=@Ar1 +?.151

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download