USING the TI Algebra and Graphing

7/21/2019 USING the TI Algebra and Graphing

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USING THE TI - INSPIRE CAS CX - QUADRATIC ALGEBRA

THE FOLLOWING PROCESSES ARE ACCESSED WHEN THE CALCULATOR IS INCALCULATOR MODE.

GOTO THE HOME SCREEN THE MENU BUTTON

SELECT CALCULATE IS USED A LOT

PURPOSE BUTTON SEQUENCE EXAMPLE

DEFINE

Used to store afunt!on !n t"e#e#or$ t"at an%e rea&&ed and'or(ed '!t". Ita)o!ds enter!n* t"e

sa#e funt!on &otsof t!#es.

#enu + ,- At!ons + ,- Def!ne

T$e !n t"e funt!on us!n* t"e (e$%oard

T$e- 23 6 x − tr& + sto → y

To f!nd t"e ans'er t$e !n | 4 y x =

T"e tr& / %uttons *!)es t"e o##and 0

Def!ne 2( ) 3 6= −h x x

T$!n* !n (4)h *!)es an ans'er of 12 as2(4) 3(4) 6 48 6 42= − = − =h

Find the value of y for23 6 y x= −

where 4 x =

Answer: 42

Clear a - z

Used to &ear an$stored funt!ons'"!" an %e anu!sane !n &ater

a&u&at!ons.

#enu + ,- At!ons + 1- C&ear a + 3

TI CAS sreens !"A#$ATIC A%&'$A A# &$A*+I& ,*-I *A&' .



Clear Histor

T"!s &ears a&&re)!ous set!onsof t"e sreen +'!es t"e '"o&e &ot

&ean.

#enu + ,- At!ons + 4- C&ear H!stor$

Sol!e

Used to so&)ee5uat!ons !n e6ator aro6!#atefor#.

#enu + 7- A&*e%ra + ,-So&)e

T$e !n t"e e5uat!on t"en o##a t"ent"e )ar!a%&e8 !n t"!s ase x ... t"e CASneeds to %e to&d '"at )ar!a%&e to so&)efor 999

Use tr& + enter to e6ress asaro6!#ate de!#a& ans'er.

So&)e 23 6 /− = x *!)!n* e6at so&ut!ons.

So&)e 23 6 /− = x *!)!n* aro6!#ate

:de!#a&; so&ut!ons.

Fa"tor

Used to e6resso&$no#!a&s !nfator!sed for#.

#enu + 7-A&*e%ra + 2-Fator

T$e !n t"e funt!on us!n* t"e (e$%oard

Fator!se 23 6+ x x

E#$a%&Used to e6and%ra(ets or#u&t!&$ %ra(etsout.

#enu + 7-A&*e%ra + 7-E6and E6and( 3)(2 0)− + x x

#-i%ter"e$ts

Used to f!nd t"e 6+

!nterets of an$funt!on

#enu + 7-A&*e%ra + 1-<eros

T$e !n t"e funt!on t"en o##a t"en t"e)ar!a%&e8 !n t"!s ase x ... t"e CAS needs

to %e to&d '"at funt!on to f!nd t"e 3erosfor 999

F!nd t"e 6+!nterets of t"e funt!on2( ) 3 .2= − f x x

TI CAS sreens !"A#$ATIC A%&'$A A# &$A*+I& ,*-I *A&' 2



Co'$lete t(e

S)*are

Used to e6ress5uadrat!s !nTURNING POINT

FORMto f!nd t"e turn!n*o!nt of a

5uadrat!.

#enu + 7-A&*e%ra + 4- Co#&ete t"eS5uare

F!nd t"e turn!n* o!nt of t"e 5uadrat!2 2 ..− − x x %$ o#&et!n* t"e s5uare.

T"e oord!nates are :,8 +,2;

Si'*lta%eo*s

E)*atio%s

Used to f!nd t"eo!nt or o!nts'"ere ur)esross.

#enu + 7-A&*e%ra + =- So&)e S$ste#s ofE5uat!ons + ,-So&)e S$ste# of E5uat!ons

Fo&&o' t"e ro#ts to *!)e t"e nu#%er ofe5uat!ons + !n t"!s ase 2

and t"e )ar!a%&es used !n t"e e5uat!ons +!n t"!s ase 6 and $.

T"e e5uat!ons need to %e enteredread!n*8 $ / !n ea" ase.

T"e so&ut!ons are-

( 0 .)= − − x and 2( 0 .)= − − y

0 .= + x and 2( 0 .)= + y

So&)e t"e e5uat!ons- 24= − y x and 2= y x

s!#u&taneous&$.




PURPOSE INSTRUCTIONS + BUTTON

SEQUENCE

EXAMPLE

Setti%, t(e

"al"*lator

i%to

&oto +1' sreen and selet &$A*+

ion

Drai%, a

,ra$(

The otto of the sreen shows

f 3(x)= ( this the sae as y 5 )

T7e2

3( ) 4 8 f x x x= − − in the otto of the sreen

*ress enter when finished

The 9ra7h of the 7araola is shown ut

verte (turnin9 7oint) of the 9ra7h an;t

e seen

The default sreen is x fro <./ to ./

and y fro 66= to <66=

To see the verte the window si>e needs

to e han9ed

Example: Show the 9ra7h of 2

4 8 y x x= − − on the CAS


Gra"!n* Para%o&as on t"e TI+ns!re C> CAS

GRAPHING

MODE

read on to see how

the viewin9

window an ehan9ed



Setti%, t(e

!iei%,

i%&o size

.ie "(a%,i%,

t(e s"ale o%

t(e a#es/.T"!s !s done'"en t"e

)a&ues on t"edefau&t a6esare notsu!ta%&e for

t"e *ra"%e!n* dra'n.

enu ? 4:@indow-oo ? .: @indow

settin9s

"se the ta utton to Bu7 etween eah

settin9

The viewin9 window still

needs i7rovin9 as the

verte (turnin9 7oint) still

an;t e seen

T7e in new ais values for the viewin9window DThis may need to be done

more than once to show the best/most

useful graphE

enu ? 4:@indow-oo ? .: @indow

settin9s

"se the ta utton to Bu7 etween eah

settin9

This viewin9 window is the

est one as the whole

9ra7h inludin9 the verte

(turnin9 7oint) an now e

seen

To 9et a etter view of the 9ra7h hoose the

followin9 window settin9s

Gin 5 <8

Ga 5 .2Gsale 5

Auto

Hin 5

<./

Ha 5 0

Hsale 5

Auto

Tr the followin9 window settin9s to

i7rove the view of the 7araola

Gin 5 <8

Ga 5 .2

Gsale 5

Auto

Hin 5 <.0

Ha 5 0

Hsale 5

Auto

F!nd!n* t"e


ta

ta

Fi%&i%, s$e"ial $oi%ts o% a ,ra$(



oord!natesof t"e # -a#is

i%ter"e$ts

:'"en $ / ? ;

enu ? 6: Analse 9ra7h ? .:ero <

'nter

The first of two sreens show

"se the to hoose a 7oint to the

lower (left) and u77er (ri9ht) side of

the <intere7t 7ressin9 enter eahtie

1ne the word zero shows on the

sreen near the verte 7ress enter

The oordinates of the <intere7t will

a77ear




the <intere7t 7ressin9 enter eahtie

1ne the word zero shows on the

sreen near the verte 7ress enter

The oordinates of the <intere7t

will a77ear

Example: "se the CAS to find the x<intere7ts of

the 9ra7h of2 4 8 y x x= − −

The lower x<intere7t is shown as (<.46/)

The u77er x<intere7t is (046/)

F!nd!n* t"eenu ? 6:Analse 9ra7h ? Example: Find the oordinates of the turnin9 7oint




oord!natesof t"e

TURNING

POINT or

0ERTEXa; Mi%i'*'

for aara%o&a oft"e t$e

2 y x= +

:as t"eara%o&a !s

r!*"t'a$ ut"en t"eturn!n*o!nt #ust%e a#!n!#u#;

%;

Ma#i'*'

for aara%o&a oft"e t$e

2 y x= −

:as t"e

ara%o&a !sus!dedo'n t"ent"e turn!n*o!nt #ust%e a#a6!#u#;

2:iniu




the turnin9 7oint 7ressin9 enter eah

tie

1ne the word minimum shows on

the sreen near the verte 7ress enter

The oordinates of the verte will

a77ear

enu ? 6:Analse 9ra7h ?

3:aiu




the turnin9 7oint 7ressin9 enter eah

tie

1ne the word minimum shows on

the sreen near the verte 7ress enter

The oordinates of the verte will

a77ear

for2 4 8 y x x= − −

The oordinates of the verte are: (2<.2)

Example: Find the oordinates of the turnin9 7oint

for

2

4 8 y x x= − − +

The oordinates of the verte are: (<2.2)

TI CAS sreens !"A#$ATIC A%&'$A A# &$A*+I& ,*-I *A&' =

USING the TI Algebra and Graphing

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