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Engaging Mathematics:Algebra II TEKS-Based Activities

Place the following numbers on the number line in their approximate location. Some locationswill have more than one number.

OIl I

a

oIoo

0000 0

I I

2 0o 0

ooIoo

ooIo I ~oo

Communicating About MathematicsSince J3 ~1.73, describe how you could determine the approximate decimal value of 7J3.

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Engaging Mathematics:Algebra II TEKS-Based Activities

Square Root Parent Function: y=JXUse the WINDOW setting below and graph the square root parent function on your graphingcalculator. Sketch the graph below.

I..J INDOWXMin=-9XMax=9~<scl=lVMin=-6VrfJax=6Yscl=lXres=1

f(x)=JX+3

f(x)=JX-2

f(x)=.J-x

f(x)=~x+4

Communicating About MathematicsBased on your observations from above, how do you predict the graph of f(x)=~x-2 woulddiffer from the graph of the square root parent function?

© Region 4 Education Service CenterAll rights reserved.

Engaging Mathematics:Algebra II TEKS-Based Activities

Can You Graph This?

Set your window to match the windows shown below. Enter the equations necessary to grapheach design into your graphing calculator. List the equations you entered to graph the design.

IJJIt..fOOI..JXJVlin=-9.6Xl"'lax=9.6Xscl=l'r'Min=-6.4'r'JVIax=6.4'r'scl=l~<res=l

WINDOI ..JXMin=-9.6XMax=9.6Xscl=lVMin=0·....r'Jax=6.4Vscl=lXres=l

I /"//

------------.-'.l"

,....-------..-----------

.r'----

~1~t1 ~l~t~ ~l~t~....V1=....V~=....V~=....VLt=....V~=....V Ii=....V7=

~1~t1 ~l~t~ ~l~t~....V1=....Y~=....V~=....YLt=....Y~=....YIi=....Y7=

Communicating About MathematicsDescribe how you found the square root functions to graph the lines for the design.