Period
Name,
L c, I
Foundation of Functions Test 2
Graph the following equations on a separate sheet of graph paper, For the absolute value
domain and range.
3, y=-2x+ 9a
4, y-2= x+31-4
i ÿ,,..v-- 53 1ÿ" 2=
v C- ,->)
Graph the following inequalities on a separate sheet of graph paper.
9. -8'ÿ -fly > -16 '
"10.
ÿXÿ
3(2x-4y)_<2(6+4x)-lOy
11. _ÿ- 2y < 10
-q-
+ m,!
12.
ÿ
ÿ-ÿ:r
g, to
..... 7"{
l'i >-
13. 3(x-4y)>2(4+4x)-lOy ÿ14. y <
5:'--t>ÿ > a 4ÿ =!);ÿ
,o,/
z, lx + II-6
...-,,
y(.4,-@
_?ÿ7>ÿ > ÿ +-gy.-
. ÿ +ÿ Ix + 214 s
+ÿ'<
17. y
_ÿ
ÿ6.-2ÿ +ÿ> Iÿ + ÿI + 6
/ÿ
-'aÿ-
1x-41+3
=ÿ
ÿ ¢. ..... Z.
Describe the transformations of the following equations.
.5!. / o>,',ÿh,
% '/ÿ..
*ÿ, y =-2Ix + 41-8
,9. y=5-1x-2
{L.tÿ.a-ÿL,ÿ.r-- :>ÿa.r g--ÿm,; S
2 -3 +o
20. y=ÿx
21, y=-3x -5
vpsJ
l
/ÿÿ- () ...... . ,. ,
;C--cÿ ',,+ ": v
S3w-M-c,=-- k,..I
2=
& 4v.,c{ 5.
Write an equation for each transformation of the graph of the absolute value parent function.
22. Reflection, right 4, down 3
23, Stretch of 3, left 7, up 6
24,
ermine whether y varies directly as x, If so, find the constant of variation and write the equation.
25,
26,
X
Y
27. Thermal Expansion Problem. Bridges on expressways often have expansion joints which are small gaps in the
roadway between one bridge section and the next, The gaps are put there so that the bridge will have room to
expand when the weather gets hot, Suppose that a bridge has a gap of 1.3 cm when the temperature is 22°C and
that the gap narrows to 0,9 cm when the temperature warms to 30°c,
ÿÿQo ÿ )ÿ
a. Find the linear function that can be used to predict gap width for a given temperature, Lÿ.ÿGJÿ,ÿ 7
b, How wide would the gap be at 35°C? At -IO°C?
14
Il
Cÿ
, i
If the gap is 1.375 cm, what is the temperature?
.
ÿ/= -o,oWÿ ÿ-ÿ,y
/ÿ-ÿ - l, op_dÿ : -o,ÿ-ÿ_
l
d,
At what temperature Celsius would the gap close completely?Gÿ'ÿ'ÿ'ÿ'ÿ'ÿ'ÿ'ÿ-ÿraphically what name is given to this
temperature?.
l
l
/
i
j"
e, Give the units of slope,
tYÿ- -o.0sÿ
X:M '
Write the equation for the absolute value graph and give the domain and range.
28,
29,
t
Write the equation for the lines below.
30,
31,
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.........
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do,-+-)
5
Write the equation of a line in standard'form that meets the following conditions.
32. Parallel to y,= ÿx - 4 that passes thru the point (-3, 6).
Sÿ.l ÿ .,ÿ ÿ_ ÿ, ÿ ,, ,,, ÿ ÿ *ÿ..
}
b
33. Parallel to y = ÿx - 4 that passes thru the point (4, 8).
Equat on:
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Equation:.
?ÿYÿ ÿ-
t
Equation:
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/
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° O,
Name Abÿ' 'ÿ+ "' ÿ,
=qo,,ÿo°, y- t,y,- t
1ÿ
(7-- ÿ
Equation:
......
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Name
Equation:.
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*Make sure you study all notes, homework, review sheet and quizzes to prepare for this test.*
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