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Integrated Math 2 Name _______________________Functions
Assessment Date ____________ Block ____You have 65 minutes.
Calculators are permitted. Notes and books are permitted. Computers
are not permitted.
If you use your calculator to do something, make sure to show
enough work so that I know what you were
thinking. No work = no evidence for me of your understanding.
Clearly indicate your answers by
boxing/underlining.
1) State whether the following are functions or just relations.
Give a reason. 2 marks K2 marks C
a) {(0,1),(-1,4),(2,3),(-2,4)} b)
2) State the domain & range of the following relations,
using proper notation. 6 marks K3 marks C
a) 13)( = xxf b) c) Assume each square
represents one
unit.
3) Let2( ) 3 7f x x= . 5 marks K
a) Findf(4). b) Findf(x + 2).
Domain: {x | }
Range: {y | }
Domain: {x | }
Range: {y | }
Domain: {x | }
Range: {y | }
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4) Let ( ) 3 7f x x= and ( ) 2 5g x x= + . What value ofx would
make ( ) ( ) 4f g x =o ? 2 marks K 2 marks T
1 mark C
5) A computer store is offering a $40 rebate along with a 20%
discount. Letx represent the original price (in dollars) of an item
in the store.
a) Write a function,D, that represents the sale price after a
20% discount only. 1 mark AHint: CHECK your work with some known
values to see if your equation is reasonable.
D(x) =
b) Write a function,R, that represents the sale price after a
$40 rebate only. 1 mark A
R(x) =
c) Find (R Do )(x) and write one sentence explaining what it
represents. 1 mark A1 mark T
d) Find (D Ro )(x) and write one sentence explaining what it
represents. 1 mark A1 mark T
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10 20 30 40 50 60 70 80 minutes
2
4
6
8
10
12
14
16
18
20cost
6) Subscribers to Talk-A-Lot Wireless pay a $7 fixed rate for up
to 30 minutes of calls 8 marks Aper month. After exceeding 30
minutes of calls, they pay an additional $0.10 for everyextra
minute.
a) Complete this table of values to represent this
situation:
b) Draw a piecewise graph to represent c) Write a piecewise
function to representthis situation. the cost c, in dollars, forx
minutes of
calls:
.
7)
a) Graphf. 4 marks A 2 marks C
# of minutes 0 20 30 40 50 60 70 80cost permonth ($)
if
( )
if
c x
=
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b) Findf(0) andf(3). 2 marks K
f(0) = _______ f(3) = _______8) Functionsfandgare defined as
follows:
f= {(3,2), (5,1), (7,4), (9,3), (11,5) and g= {(1,3), (2,5),
(3,7), (4,9), (5,10)}
a) Findg(3). 1 mark T
b) Find ( )3f go . 1 mark T
c) Find ( )9g fo . 1 mark T
d) If ( ) 4f x = , findx. 1 mark T
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Totals:Application: /16 Communication/Technology: /8
Knowledge: /17 Critical Thinking: /8
