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Warm up! At the bottom of your sheet, sketch a cube root function and a square root function.

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Presentation on theme: "Warm up! At the bottom of your sheet, sketch a cube root function and a square root function."— Presentation transcript:

1 Warm up! At the bottom of your sheet, sketch a cube root function and a square root function

2 Graphing Square Root and Cube Root Functions

3 Don’t freak out… YOU learned the basics to graphing last chapter This is just reinforcement!

4 Where we see ‘em…

5 Cube root and square root

6 Parent Square Root

7

8 X/Y table X ValueY Value 4 9 16 25 36 49 64

9 Parent Cube Root

10

11 X/Y table X ValueY Value 8 27 64 -8 -27 -64

12 Translations

13 Translations

14 You tell me… What would placing a negative sign in front of the radical do? What would placing a number like 2 in front of the radical do?

15 Practice

16 Square Roots and nth roots When c≥0, the square root of c is the non negative solution of the equation x 2 =c Cube roots, fourth roots, and higher roots are defined as solutions of the equation x n =c These equations can be solve graphically by finding the x coordinate of the intersection points of y=x n and y=c

17 Solutions to nth roots

18

19 Review…

20 Evaluate in your calculator 40 1/5 225 1/111 Watch your parentheses

21 Rational Exponents

22 Simplify

23 Homework: Page 334, Section 5.1 # 10, 13, 14, 15


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