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22 Cards in this Set
- Front
- Back
Average Rate of Change
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ΔY/ΔX = f(b)-f(a)/b-a
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Linear Function
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A function whose rate of change is constant
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Q=b+mt
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Output = (initial value) + (rate of change) (input)
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Slope-intercept form
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y=f(x)=b+mx
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Point-slope form
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y=f(x)=yᴼ+m(x-xᴼ)
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What kind of line is x=2?
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Vertical
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What kind of line is y=2?
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Horizontal
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Ax+By=C
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Standard Form
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Parallel Lines
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Have the same slope
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Perpendicular Lines
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Have negative reciprocal slopes
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y = f(x) = a(x-r)(x-s)
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Factored Form
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y = f(x) = a(x-h)2 + k
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Vertex Form
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h = -b/2a
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Vertex formula
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-b±√(b2)-4ac
2a |
Quadratic Formula
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√(b2)-4ac
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Discriminant
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√(b2)-4ac > 0
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2 Solutions
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√(b2)-4ac < 0
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No Solutions
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√(b2)-4ac = 0
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1 Solution
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Q= f(t) = ab⁽t⁾
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Exponential Functions
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f(t) = ab⁽t⁾
b=? r=? |
b=r+1
r=b-1 |
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(starting value)(growth factor)=?
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ending value
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(starting value)(growth rate)=?
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change in value
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