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Analysis of Linear Functions. Trick Question? #6 x = ? This is a VERTICAL line. Slope (m) – UNDEFINED Steepness – MORE or NO Solution Y intercept (b)

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Presentation on theme: "Analysis of Linear Functions. Trick Question? #6 x = ? This is a VERTICAL line. Slope (m) – UNDEFINED Steepness – MORE or NO Solution Y intercept (b)"— Presentation transcript:

1 Analysis of Linear Functions

2 Trick Question? #6 x = ? This is a VERTICAL line. Slope (m) – UNDEFINED Steepness – MORE or NO Solution Y intercept (b) / (0,b) NO SOLUTION Increasing/Decreasing really Neither

3 What is the parent linear function? y = x

4 What is the parent linear function? y = x

5 What is the parent linear function? y = x

6 What is the parent linear function? y = x

7 What is the parent linear function? y = x

8 What is the parent linear function? y = x

9 What is the slope? m = y = 6x + 4 y = -¾x + 1 y = 8 y = -5x – 2 y = ⅞x - 9

10 What is the slope? m = y = 6 x + 4 y = -¾ x + 1 y = 0x + 8 y = -5x – 2 y = ⅞x - 9

11 MORE steep or LESS steep y = 6x + 4 y = -¾x + 1 y = 8 y = -5x – 2 y = ⅞x - 9

12 MORE steep or LESS steep y = 6x + 46>1 y = -¾x + 1¾<1 y = 0x + 80<1 y = -5x – 25>1 y = ⅞x – 9 ⅞<1

13 MORE steep or LESS steep y = 6x + 46>1 MORE y = -¾x + 1¾<1 LESS y = 0x + 80<1 LESS y = -5x – 25>1 MORE y = ⅞x – 9 ⅞<1 LESS

14 What is the y intercept? b = Coordinates y = 6x + 4 y = -¾x + 1 y = 8 y = -5x – 2 y = ⅞x - 9

15 What is the y intercept? b = Coordinates y = 6x + 4 y = -¾x + 1 y = 0x + 8 y = -5x - 2 y = ⅞x - 9

16 What is the y intercept? b = Coordinates y = 6x + 4(0, 4) y = -¾x + 1(0, 1) y = 0x + 8(0, 8) y = -5x - 2(0, -2) y = ⅞x - 9(0, -9)

17 Increasing or Decreasing y = 6x + 4 y = -¾x + 1 y = 8 y = -5x – 2 y = ⅞x – 9

18 Increasing or Decreasing y = 6x + 4 positive slope y = -¾x + 1 y = 8 y = -5x – 2 y = ⅞x – 9 positive slope

19 Increasing or Decreasing y = 6x + 4 positive slope y = -¾x + 1 negative slope y = 8 y = -5x – 2 negative slope y = ⅞x – 9 positive slope

20 Increasing or Decreasing y = 6x + 4 positive slope y = -¾x + 1 negative slope y = 8 horizontal line NEITHER y = -5x – 2 positive slope y = ⅞x – 9 positive slope


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