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X2 t07 04 reciprocal functions (2013)
- 1. (G) Graphs of Reciprocal
Functions
noticing;and
drawingfirstbysketchedbecan
1
ofgraphThe xfy
xf
y
- 2. (G) Graphs of Reciprocal
Functions
noticing;and
drawingfirstbysketchedbecan
1
ofgraphThe xfy
xf
y
existsasymptoteverticalai.e.undefined,is
1
then,0when
xf
xf
- 5. (G) Graphs of Reciprocal
Functions
noticing;and
drawingfirstbysketchedbecan
1
ofgraphThe xfy
xf
y
existsasymptoteverticalai.e.undefined,is
1
then,0when
xf
xf
interceptsbecomeasymptotesi.e.0,
1
then,when x
xf
xf
- 10. (G) Graphs of Reciprocal
Functions
noticing;and
drawingfirstbysketchedbecan
1
ofgraphThe xfy
xf
y
existsasymptoteverticalai.e.undefined,is
1
then,0when
xf
xf
interceptsbecomeasymptotesi.e.0,
1
then,when x
xf
xf
versa-visaand,decreasingisreciprocalthe,increasingiswhen xf
- 11. (G) Graphs of Reciprocal
Functions
noticing;and
drawingfirstbysketchedbecan
1
ofgraphThe xfy
xf
y
existsasymptoteverticalai.e.undefined,is
1
then,0when
xf
xf
interceptsbecomeasymptotesi.e.0,
1
then,when x
xf
xf
versa-visaand,decreasingisreciprocalthe,increasingiswhen xf
etc.positive,is
1
positive,iswhen
xf
xf
- 13. (G) Graphs of Reciprocal
Functions
noticing;and
drawingfirstbysketchedbecan
1
ofgraphThe xfy
xf
y
existsasymptoteverticalai.e.undefined,is
1
then,0when
xf
xf
interceptsbecomeasymptotesi.e.0,
1
then,when x
xf
xf
versa-visaand,decreasingisreciprocalthe,increasingiswhen xf
etc.positive,is
1
positive,iswhen
xf
xf
.reciprocalitsofpointsstationaryarecurveoriginal
theofpointsstationaryhence,is
1
ofderivativethe 2
xf
xf-
xf