t,trr" K €^-4
ort"
Goordinate Algebra
10.1110.2
ldentifyi ng Linear FunctionslUsing lntercepts
- 12 Block
ldentify whether each graph represents a function. Explain. lf the
graph does represent a function, is the function linear?
IL
ta
Nat
x4
ff
fi*nd;on bll
PaeEe< Vt-T
a f,,-".dfoa ble r' e nr.f.
D&es vLl
N
Yvuce*
3. Which set of ordered pairs sa.tisfie.s.a.linear function? Explain. AY
LY/^
Set A: {(5, 1 ), (4,4), (3, g), (r, 1til(
lac brr*t".,:rt
l%ff*oAX \Dtsa*ta
Yg'.btr=b.r* AYd,d
Set B: {(1, -5), (2, -3), (3, -1), (4, 1), (5, 3)}
'
DX=
l
,1y= Z
4. Write y = -2x in standard form. Then graph the function.
*?4-
*tP
Q-xty:e
5. ln 2005, the Shabelle River in Somalia rose
an
q=5.el(to)
estimated 5.25 inches €very hour for 15 hours. The
increase in water level is represented by the function
fqx\ - 5.21x;where x is the number of hours. Graph
this function and give its domain and range.
D: 6z-xs
15
@ Houghton Mifflin Harcourt Publishing Company
Q-:
oayll a1g15
t) = 19,'15
10
Time (h)
Holt McDougal Coordinate Algebra
Class
Date
Find the x- and y-intercepts.
7.
X--intl -l
X-in+ = +
V-i A+ - a.
X-irrt = -3
Y-in*
,
Use intercepts to graph the line described by each equation.
9.3x+2y--6
X
r'nt= -Q
yin+-
-)
10.
3
x-rnt =+
)-r'nt = -l
x-4y-4
11. At a fair, hamburgers sell for $3.00 each and hot dogs sell for
$1.50 each. The equation 3x + 1.5y = 30 describes the number
of hamburgers and hot dogs a family can buy with $30.
a.
,
Find the intercepts and graph the function.
X-irr.h=lo
v-ift+:2b
b. What does each intercept represent?
18
16
't4
12
10
I
6
4
I
1234567891
Hamburgers-
@ Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name
Class
Write the correct answer.
12. A daycare center charges a $75 enrollment fee
plus $100 perweek. The function f(x) - 100x +75
gives the cost of daycare for x weeks. Graph this
function and give its domain and range.
.
1
900
800
700
a
(6
600
E
o
500
.:.
(n
P-: 15,
()o
l'l5, A1C,?15...
Cost ol Daycare
000
400
300
2oa
100
12345678910
Number of Weeks
13. A family swimming pool holds 60 m3 of water.
The function f(x) = 60 - 0. 18x gives the cubic
meters of water in the pool, taking into account
water lost to evaporation over x days. Graph this
function and give its domain and range.
D: xzo
?', D2u\*bo
Amount olWater in Swimming Pool
54
o
€ra
E
g.
o2
.I ,u
g
gro
624
o
E,t
t-,
E
)tz
o
Day
Elijah is using a rowing machine. The table shows how many Calories
he can burn for certain lengths of time. Select the best answer.
Time (min)
Calories
2
24
4
48
6
72
8
96
10
120
14. Which function could be used to
describe the number of Calories
burned after x minutes?
F
y-12+x
G x+ Y=12
H xy=12
ol,-12x
15. What is the domain of the function?
A to, 1,2,3, ...)
B {2,4, 6, ...}
@*
=
O
D x>2
16. What is the range of the function?
F to, 12,24,36, . )@y O
=
G {24, 48,72, ...1 J y>24
17. Elijah graphed the
funition in problem 4.
Which best describes the graph?
@,, is a line that increases from left to right.
-
@ Houghton
lt forms a U-shape.
B lt is a line that decreases from left to right
D lt forms a V-shape.
Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Date
Class
Write the correct answer.
\.
18. Naima has $40 to spend on refreshments
for herself and her friends at the movie
theater. The equation 5x + 2y - 40
describes the number of Iarge popcorns
x and small drinks y she can buy.
Graph this function and find its intercepts.
X*l'tr:'. 8
)-r'ot ?o
19.
Turner is reading a 400-page book. He
reads 4 pages every 5 minutes.
The number of pages Turher has left to
read after x minutes is represented by
the function flx) = 400
- t-
Graph
this r
function and find its intercepts.
X-iff-:soo
Refreshments lor Naima and Friends
Turner's Reading
o,
:E
@*oo
Bite
360
fu>=f'
320
ru
';..i
tt 240
o
\",
i'i
r\'
(ro
E
-i.,1
.\:
o)
TE
200
o-
zf
160
)
120
-irrt: too
80
40
-:"":t -: , :' ' i"r".", :',
46lE101214161820
:
:
75 150 225 300 375 450
Number of Minutes
Number of Large Popcorns
The graph shows the distance of an elevator at Chimney Rock,
North Garolina, from its destination as a function of time. Use the
graph to answer questions 20 - 23. Select the best answer.
20. What is the x-intercept of this function?
'
A0
Speed of Elevator at Chimney Rock
c258
D 3oo
@so
21. What does the x-intercept represent?
F the total distance the elevator
travels
G the number of seconds that have
o
passed for any given distance
the number of seconds it takes the
elevator to reach its destination
J the distance that the elevator
has
traveled at any given time
22. What is the y-intercept for this function?
Ao
830
@?ut
D300
Time (s)
22. What does the y-intercept represent?
f)tne total distance the etevator
I\-/
travels
G the number of seconds that have
passed for any given distance
H the number of seconds
it takes the
elevator to reach its de-stination
J the distance that the elevator
has
traveled at any given time
@
*^
-too = -ct
dr
E 280
o
o
_o
-
Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra