Graphing Square and Cube Roots

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Presentation transcript:

Graphing Square and Cube Roots Unit 4 Day 2 Graphing Square and Cube Roots

Warm Up Left h Right h Up k Down k

Warm-up Continued

Homework Answers (Graphs on next page)

Homework Answers Graphs 13. 14. 15. 16. 17. 18.

Homework Answers Continued 19. 21. 20.

Homework Answers Bottom Pg 1

Homework Answers Pg 2

Graphing Square Root Functions Notes Pg 4

Graphing Square Root Functions

This should be the inverse of y = x2, but… Is it a function???? This means we will only use the positive top of the graph. (0,0) As x goes to zero, y goes to zero. As x approaches infinity, y approaches infinity. [0 , ∞) [0 , ∞) none Increasing over time.

Graphing Discovery On Calc (You Try) Notes p. 5 #1-4 Use the Document Camera to fill in table, etc.

Any questions on those problems?

Graphing Cube Root Functions

Is this a function?? Yes! (0,0) (∞ , ∞) (∞ , ∞) As x goes to negative infinity, y goes to negative infinity. As x approaches infinity, y approaches infinity. (∞ , ∞) (∞ , ∞) About the origin (rotation) Increasing when x > 0 Decreasing when x < 0

Graphing Discovery On Calc (You Try) Notes p. 6 #5-7 Use the Document Camera to fill in table, etc.

Any questions on those problems?

Graph by Hand using what we know now. We know it is the square root function moved left 2 and down 4

For #10 try to make a table to help with graphing… Graphing by hand Notes p. 6 #9-10 For #10 try to make a table to help with graphing… Use the Document Camera to fill in table, etc.

Any questions on those problems?

Sometimes the function isn’t in a nice graphing form. Hint: First change the following into the form. x y -4 -3 5 2 4 6 Why those x-values?

You Try: Put the following in graphing form. Then graph it. x y -5 -4 -3 4 -7 -5 -3 1

Homework/Classwork Quietly work on HW Packet Pg 3-4