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Coldkick
Deinonychus
Deinonychus

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Joined: 29 Jun 2010
Age: 29
Gender: Male
Posts: 397
Location: Sarnia, Ontario

08 Nov 2010, 8:12 pm

Bluefins wrote:
On the functions:

Image

When the x value changes, the y value changes too. You can see by following the yellow line that when x is 1, y is 4.5. When x is 2, y is 5, etc.

The red number, 1/2, shows how much the y value changes when the x value changes. If x increases by 1, y increases by 1/2. if x increases by 2, y increases by 1, etc.

The blue number, 4, gets added to y no matter what. Because of that, it's easy to find - it's the value y has when x is 0.

The red & blue numbers are what makes this line different from other lines. If the red number was bigger, the function would be steeper. If it was negative, it would slope downwards. If it was 0, it would be horisontal.

The blue number shows how high the function is. Increasing or decreasing it moves the function up or down the vertical scale.

Adding some more functions for comparison:
blue: y = 1/2x + 3
pink: y = x + 4
orange: y = -1/3x + 4
green: y = -1/3x + 8

Image

See how they're similar and different?


Thanks for the extra visuals Bluefins, I'm sure that will help lots of people. :D