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7/17/2019 MODULE 10-Graphs of Functions
http://slidepdf.com/reader/full/module-10-graphs-of-functions-568d1899c9420 1/13
MODUL 10SKIM TIUSYEN FELDA (STF) MATEMATIK SPM “ENRICHMENT”
TOPIC : GRAPHS OF FUNCTIONSTIME : 2 HOURS
1. a) Complete Table 1 in the answer space for the equation y = 2x2 – 5x – 3.
1b) or this part! use a "raph paper.
#y usin" a scale 2 cm to 1 unit on the x$axis an% 2 cm to 5 units on the y$axis! %raw the "raph of y = 2x2 – 5x – 3 for $3 & x & 5.
1c) rom your "raph! fin%
1. i) the 'alue of y when x = $2.(!ii) the 'alue of x when 2x2 – 5x – 3 = .
1%) *raw a suitable strai"ht line on your "raph to fin% all the 'alues of x which satisfy theequation 2x2 – +x = , for $3 & x & 5.
-tate these 'alues of x.
nswer/
a)
0 $3 $2 $1 .
3 ( $3
Table 1
c) i) y =
ii) x =
7/17/2019 MODULE 10-Graphs of Functions
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%) x =
2. a) Complete Table 2 in the answer space for the equation y = x 2 – 5x (.
1b) or this part! use a "raph paper.
#y usin" a scale 2 cm to 1 unit on the x$axis an% 2 cm to 5 units on the y$axis! %raw the "raph of y = x2 – 5x ( for & x & +.
1c) rom your "raph! fin%
1. a. the 'alue of y when x = (.5!b. the 'alue of x when y = 21.,5
1%) *raw a suitable strai"ht line on your "raph to fin% all the 'alues of x which
satisfy the equation x2 – ,x 3 = for & x & +.-tate these 'alues of x.
nswer/
a)
0 1 2 2.5 3
( $2 $
Table 2
c) i) y =
7/17/2019 MODULE 10-Graphs of Functions
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ii) x =
%) x =
3. a) Complete Table 3 in the answer space for the equation y = .
1b) or this part! use a "raph paper.
#y usin" a scale 2 cm to 1 unit on the x$axis an% 2 cm to 2 units on the
y$axis! %raw the "raph of y = for $5 & x & 5.
1c) rom your "raph! fin%
1. a. the 'alue of y when x = 1.+!b. the 'alue of x when y = $.
1%) rom your "raph! fin% all the 'alues of x with the con%ition that the 'alue
of y is three times the 'alue of x.
nswer/
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a)
0 $5 $3 $2 $1 $.5
$1 $1., $2.5 $1
Table 3
c) i) y =
ii) x =
%) x =
(. a) Complete Table ( in the answer space for the equation y =
1b) or this part! use a "raph paper.
#y usin" a scale 2 cm to 1 unit on the x$axis an% 2 cm to 1 units on the y$axis! %raw the
"raph of y = for $( & x & (.
1c) rom your "raph! fin%
1. a. the 'alue of y when x = $1.5!
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b. the 'alue of x when y = 1.2.
1%) *raw a suitable strai"ht line on your "raph to fin% all the 'alues of x which
satisfy the equation = x $ 2 for $( & x & (.-tate these 'alues of x.
nswer/
a)
0 $( $2.5 $2 $1 $.5 $.5 $.+ $2 $(
Table (
c) i) y =
ii) x =
%) x =
5. a) Complete Table 5 in the answer space for the equationy = x3 – 13x 1+.
1b) or this part! use a "raph paper.
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#y usin" a scale 2 cm to 1 unit on the x$axis an% 2 cm to 5 units on the y$axis! %raw the "raph of y = x3 – 13x 1+ for $( & x & (.
1c) rom your "raph! fin%
1. a. the 'alue of y when x = $1.5!b. the 'alue of x when y = 25.
1%) *raw a suitable strai"ht line on your "raph to fin% all the 'alues of x which
satisfy the equation x3 – 11x – 2 = for $( & x & (.-tate these 'alues of x.
nswer/
a)
0 $( $3 $2 $1
3 3 1+
Table 5
c) i) y =
ii) x =
%) x =
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. a) Complete Table in the answer space for the equationy = x3 x2 – 12x – 5.
1b) or this part! use a "raph paper.
#y usin" a scale 2 cm to 1 unit on the x$axis an% 2 cm to 5 units on the y$axis! %raw the "raph of y = x3 x2 – 12x – 5 for $( & x & (.
1c) rom your "raph! fin%
1. a. the 'alue of y when x = .5!b. the 'alue of x when 11.4.
1%) *raw a suitable strai"ht line on your "raph to fin% all the 'alues of x which
satisfy the equation x3 x2 – 1x = for $( & x & (.-tate these 'alues of x.
nswer/
a)
0 $( $3 $2 $1
$5 13 , $5
Table
c) i) y =
ii) x =
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%) x =
MODULE 10 – ANSWERSTOPIC: GRAPHS OF FUNCTIONS
1. a) x=$2 y=15 x=.5 y= $5 x=3 y=
b) "raph
c) i) x=$2.( y= 2.5ii) when 2x2 – 5x – 3 =
y =
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Then the 'alues of x is $.5 an% 3
1e) y=2x2$5x$3
=2x2$+x$, $)$$$$$$$$$$$$$$$$$$$$$$$
= 3x (
0 3 ( 13
rom the "raph x= $.,5 an% (.,5
2. a)x=2.5 y=$2.25 x=( y=
b)"raph 2
c) i) y=1.,5ii) x=,.(
1e)
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strai"ht line y=2x1x=.(5 an% .55
3. a) x=$1 y=$5 x=2.5 y=2
b)"raph
c) i) x=1.+ y= 2.+ii) y=$ x=$.+
1e) The "raph is y=3x
0 2
The 'alues of x= $1.3 an% 1.3
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(. a) x=$2 y=$1 x=2.5 y=.+
b) "raph
c) i) y=$1.3ii) x=1.,
e) The strai"ht line is y= x – 2
The 'alues of x = $.,5 an% 3.(5
5. a) x=$3 y=3 x=2 y=b) "raph
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c) i) x=$1.5 y=3(ii) y=25 x=3.+5
1e) y=x3$13x1+
=x3$11x$2 $)$$$$$$$$$$$$$$$$$$$$$$$$$$= $2x2
0 ( 2 12
0= $3.2! $.25 an% 3.35
. a) x=$2 y=15 x=3 y=$5
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b) "raph
c) i) y=1.,5ii) x=$1.5
1e)
y=$12x$5
x=$3.! an% 2.,5