Name
Wÿ
AIg. Period
Date .ÿ,,ÿ..,, ÿ ÿ f'ÿÿ'
Test Review ' 2-1 -- Functions, Graphing, x- and y- Intercepts
All work must be shown to receive credit for each problem.
Solve each proportion:
x -ÿfS=ÿ 5x
.
Write the equation in function form
4. Evaluate p in the equation below
by solving for y:
8x + 2y = 14
5 p- 3q = 15
S s
;v: s!
,
Solve each equation in terms of y:
a. -7x-3y= 18
b,
4y - 4x + 4 = 0
Cÿ 3y - 9x = 27
d. 24-4y= 8x
= %÷;7
-5 -5 -5
S 3
._Tx - g
6. Is a horizontal line a function? k)ÿ Is a vertical line a function?
NO
7. Find the value of each function if
a. f(3)
b. f(-1)
f(x) = 3x + 4 and g(x) = x-3x
c. g(2)
8. Express y in terms of x. (Solve for y)
d°
g(-2)
2x + 3y = 12
9. Make a table of values, then graph the following equation:
y= 5
x
y
05
10. Make a table of values and graph the following equation'
y= -5x+ 3
Is the graph discrete or continuousÿ ÿÿiÿ" ÿh Yÿ Lÿ 0 ÿ
X
0 3
I oZ
2q
Is the equation written in standard form?
blO
/
Is the graph a function? \J ÿZ2
What is the range? ÿ-"ÿ[ÿ. ÿ.ÿ.ÿt\ÿÿ-
ÿ
11. Make a table of values with the domain'
x ÿ -2
Graph the function.
11
..... :F
x
Is it discrete or contlnuous."
-3x
y
?Lÿ[\'15," ÿ'" ÿ"
Is it a function? ÿ.ÿ
N i ÿLÿ,Lÿ
B
What is the range? y ÿ ÿ:ÿ
5o
12. Determine if the ordered pair, (-1, ) is a solution for the equation:
3x-2y = -5 Show work below.
13. Evaluate each function' F(x) = 10x + 4; when x = -3, 4, 8
.-
14. Write the equation of the line segment graphed below.
,,#
.......................
]ÿ.ÿiÿ, IV. T [::]T:
1
l Z
I
I(ÿ)--ÿ.,
1,
3
..... i _!:__! ................. 1. ............... L_EL
-_FFTTTLT: FFTT Y-_r- !-TT! -!-T L ......
i :
AZ:
&
......
!_IX
/"Q
Answer the following questions about #14 on the previous page.
" %#
What is the domain? ÿ J s< Xÿ:::
Is the graph restricted?
d'/j'
z
/
What is the range? q--ÿ %ÿCÿ_ --
5
How do you know? >/ÿ5; ) -Fÿ
b4:ÿ,.
15. Find f(-7)if f(x) = -4x-10
16. Graphy=-3x+ 4 with the given domain O___x___5.
.... v-
.... p
i n tso4-h d,.l" rcc:i-i,ÿn s
---ff ---I
ii !,(ÿ ÿ":/' ¢'ÿ,.t,:ÿ ÿ::ÿ[ c,{ "..,
.... .._ .... 11
T:ÿ - 3 (¢) + ÿ!- -_5
±:
.... ..... .... ÿ...4
.... r ....
What is the range?--I} ÿx'ÿ4:/q
Is it discrete or continuous? CÿO'ÿgilqdO0ÿ
"
"-CI Rÿo ,.t ,::::ÿ ,-tÿ.ÿ." n.'ÿc h
17. Graph ¥ = 2x -3 with the domain {-3, -1, 0, 2, 4 }
x!
......
Xÿ#ÿIÿ-{'--iÿpLÿ so i'-P2ÿ
Is it Discrete or Conbnuous?ÿ.,ÿ)ÿd¢-,.ÿ{-©
z_
......
u !i
to.ÿ )'ÿ. [ s"'
-1
0
2
q.
i)
"
How do you know7
2, -I -3 '- K>
.:..::
#;'ÿ:"#-4ÿ 't- ÿ. ÿ"",, :,.::', ÿ- ÿ
.....
What is the range?
0
nÿ ÿ',.. ÿ n
)
18. The graph showing the relationship between the selling price of pairs of shoes and
the number of pairs of shoes sold is shown below.
2
f-ÿaiÿ ÿf Shaes Sold
Which statement best describes the graph?
A The number of pairs of shoes sold continues to increase as the selling price
increases
B The number of pairs of shoes sold remain constant no matter what the selling
.\prJce
! C The number of pairs of shoes sold will increase as selling price increases to a
"- ....... point where the number of pairs of shoes will then begin to decrease as the
selling price increases
D The number of pairs of shoes sold will never reach a maximum regardless
of the selling price
19. Find the x and y intercepts of each line and graph them.
\\0 q
4x - 3y = 12
L--I'L!ÿ
[i::TF
+
r'F"
-3x+ 5y-15 = 0
L-I
, /
'ÿt
........
,ÿ...ÿ
i"ÿ
..,ÿ,
q-.
I ':"5, "
::'
;,i,o
X
3
X ÿ
ÿ-
y ___
Lÿd2 ...............
b
20. Find the x and y intercepts for each equation:
a. 3x-y = 5
b. 8x- 3y =-21
c. 5x + y = -8
d. 5x + 6y = -30
.......... 2-1.-TqLhÿs graph represents the distance tiaveled by a bicyclist over a given time on
one trip.
/ÿFÿ+ÿ .... /
Based on the graph, which of the following statements is most likely to be true?
A The bicyclist maintained the same speed throughout the trip.
B The bicyclist rode fastest toward the end of the trip.
C The bicyclist rode up hill or on level ground for the entire trip.
,ÿThebicyclist
rode fastest at the
of the trip.
beginning
22. Catherine graphed the following linear function on an (x, y) coordinate plane.
g(x) = 4x - 3.2
,('!
What is the x-intercept of the graph of the function?
iÿ,\, ÿ
y-intercept?
.....
=" ÿ' ÿ
Lÿ'J
....
'ÿ) ÿ,ÿ
, ::-ÿ
,-ÿ-ÿ: % x3" -3, ,<ÿ
23. Ridha graphed the following linear function on an (x, y) coordinate plane.
f(x) =-8X- S
What is the x-intercept of the graph of this function?
y-intercept? ÿ ÿfÿ
% <)4
%
/
%
S