5.3 interpreting and sketching graphs
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5.3 Interpreting and Sketching Graphs
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May 12, 2014
5.3 Interpreting and Sketching GraphsGraph the following ordered pairs...(0, 0) (4, 2) (2, 3) (1, 1)
5.3 Interpreting and Sketching Graphs
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Theshapeofagraphcantellusagreatdealeveniftherearenonumbersontheaxes.Forexample,thegraphsbelowshowhowinterestrateshavechangedoveroneyearin3differentcountries.
ChangeinInterestRates
Time
Rate
Time
Rate
Time
Rate
1 2 3
Describeeachgraph:
Doesthisgraphmakesensefortheprevioussituation?
Time
Rate
5.3 Interpreting and Sketching Graphs
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Properties of a graph can provide information about a given situation
5.3 Interpreting and Sketching Graphs
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Identifythegraphthatbestrepresentsapersontakingatriponanairplane:
Time
Height
Time
Height
Time
Height
Time
Height
Remember:‐the_________variablegoesonthex‐axis‐the_________variablegoesonthey‐axis
5.3 Interpreting and Sketching Graphs
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Jennaisacross‐countryskier.OnSaturday,sheskiedtheBluePtarmiganTrailinonehour.Thegraphshowsherspeedasshewentalongthetrail.Shestartedoffalongthetrailat10:00am.
Time(minutes)after10:00am
Speed(km
/h)
10 20 30 40 50 60
20
15
10
5A
B C
a)Whatisherspeedat10:10am?
b)Atwhattimeisshegoingthefastest?Whatisherspeedatthattime?
c)Whathappenstoherspeedbetween10:25amand10:35am?
d)Whatisherspeedat10:40am?
e)DescribeJenna'sentiretrip.
5.3 Interpreting and Sketching Graphs
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Createascenariotomatchthisgraph:
Thefollowinggraphshowstheheightofwaterinabathtuboveraperiodoftime.Writeascenariotomatchthegraph.Makesuretogivereasonsforchangesatkeypointsonthegraph.
Time
HeightofWater
A
BC
DE
F
G
H
5.3 Interpreting and Sketching Graphs
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SketchaGraphfortheGivenSituation
Atthebeginningofarace,Aliciatook2storeachaspeedof8m/sfor12s,thenshesloweddowntoastopin2s.
Sketchagraphofspeedasafunctionoftime.Labeleachsectionofyourgraph.
Pull
Pull
0 1 2 3 4 5 6 7 8 9 1011121314151617181920
1
2
3
4
5
6
7
8
9
10
x
y
5.3 Interpreting and Sketching Graphs
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May 12, 2014
Read examples 1 3 in the textbook.
Do homework on page 281 #314