3.3 graph square root functions 3.1, 3.3 test: may 4 computer lab (c32): may 5

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3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

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Page 1: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

3.3Graph Square Root Functions

3.1, 3.3 Test: May 4

Computer Lab (C32): May 5

Page 2: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

Vocabulary

• A radical expression is an expression that contains a radical, such as a square root, cube root, or other root.

• A radical function contains a radical expression with the independent variable in the radicand.– Example: ( )f x x

Page 3: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

Vocabulary• If the radical is a square

root, then the function is called a square root function.

• The most basic square root function in the family of all square root functions, called the parent square root function, is y x

Page 4: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

Remember!!!

• Can we have a negative underneath the square root?????

NO

4

Page 5: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

Example 1:Graph y = 5 x. And compare it to the parent

function y = x.

X

Y

Page 6: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5
Page 7: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

Example 2: 1

Graph y = . Compare with the parent function 2

y = x.

x

X

Y

Page 8: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5
Page 9: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

Example 3: Graph y = x 2. Compare to the parent function

y = x.

X

Y

Page 10: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5
Page 11: 3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5

Homework:

• p. 138 #1-21odd