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Warm-up

Warm-up. Solve each equation. Check!! 1 . 2. 3 . 4 . Warm-up. Solve each equation. Check!! 1 . -42. -6. 7. 1. 42 – x. x 2 = . ( x – 6) (x + 7) = 0. -42 + x -42 + x. x – 6 = 0. x + 7 = 0. x 2 + x – 42 = 0 . x = 6. x = -7. Warm-up.

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Warm-up

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  1. Warm-up Solve each equation. Check!! 1. 2. 3. 4.

  2. Warm-up Solve each equation. Check!! 1. -42 -6 7 1 42 – x x2 = (x – 6)(x + 7) = 0 -42 + x -42 + x x – 6 = 0 x + 7 = 0 x2 + x – 42 = 0 x = 6 x = -7

  3. Warm-up Solve each equation. Check!! 1. check x = 6 & -7 6 = 6 -7 = 7 ✔ extraneous

  4. Warm-up Solve each equation. Check!! 2. -6 2 -3 -1 x + 6 x2 = (x + 2)(x – 3) = 0 -x – 6 -x – 6 x + 2 = 0 x – 3 = 0 x2 – x – 6 = 0 x = -2 x = 3

  5. Warm-up Solve each equation. Check!! 2. check x = -2 & 3 -2 = 2 3= 3 ✔ extraneous

  6. Warm-up Solve each equation. Check!! 3. 2 -1 -2 -3 3x – 2 x2 = (x – 1)(x – 2) = 0 -3x + 2 -3x + 2 x – 1 = 0 x – 2 = 0 x2 – 3x + 2 = 0 x = 1 x = 2

  7. Warm-up Solve each equation. Check!! 3. check x = 1 & 2 1 = 1 2= 2 ✔ ✔

  8. Warm-up Solve each equation. Check!! 4. 1 -1 -1 -2 -1 + 2x x2 = (x – 1)(x – 1) = 0 +1 – 2x +1 – 2x x – 1 = 0 x – 1 = 0 x2 – 2x + 1 = 0 x = 1 x = 1

  9. Warm-up Solve each equation. Check!! 4. check x = 1 1 = 1 ✔

  10. Section 10.5 Graphing Square Root Functions Standards: 17.0 Objective: I will graph square root functions by making a table of values.

  11. Find the Domain: Remember: Square roots can’t be negative. Make the radicand greater than or equal to 0. Solve that inequality.

  12. Example 1: x + 9 > 0 -9 -9 x> -9

  13. Example 2: 3x – 6 > 0 +6 +6 3x > 6 x> 2 3 3

  14. Example 3: 2x > 0 x> 0 2 2

  15. Example 4: 2x + 1 >0 -1 -1 2x > -1 2 2

  16. Steps: Find the domain (make the radicand > 0 and solve for x). Make a table of values. Use the value of x found in #1. Find at least five points. Plot your points.

  17. Example 1: 3 0 x – 3 > 0 4 1 +3 +3 5 1.4 x> 3 6 1.7 7 2

  18. Example 1: (3, 0) (4, 1) (5, 1.4) (6, 1.7) (7, 2)

  19. Example 2: -2 0 x + 2 > 0 -1 1 -2 -2 0 1.4 x> -2 1 1.7 2 2

  20. Example 2: (-2, 0) (-1, 1) (0, 1.4) (1, 1.7) (2, 2)

  21. Example 3: 0 2 0 + 2 x> 0 1 3 1 + 2 2 3.4 1.4 + 2 3 3.7 1.7 + 2 4 4 2 + 2

  22. Example 3: (0, 2) (1, 3) (2, 3.4) (3, 3.7) (4, 4)

  23. Example 4: 0 -4 0 – 4 x> 0 1 -3 1 – 4 2 -2.6 1.4 – 4 3 -2.3 1.7 – 4 4 -2 2 – 4

  24. Example 4: (0, -4) (1, -3) (2, -2.6) (3, -2.3) (4, -2)

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