Exponential Functions

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When is a function in the form y=abx increasing or decreasing?

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Using Roots to Generate an Equation

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Find an equation of a parabola given the point(s) where it crosses the x-axis.

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Symmetry of Polynomial Functions

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Describe the symmetry of a function.

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Fundamental Theorem of Algebra

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What is the largest number of times a function can cross the x-axis? How about the smallest number of times?

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Minimum Criteria

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Given a set number of points on the coordinate plane, how many lines or parabolas can you make through these points?

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Ending the Maximum

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Find a shortcut to find the x-coordinate of the maximum or minimum of a parabola.

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Does 0=0?

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What happens when two equations in the form y = mx + b are set equal to each other?

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Triangle from a Line

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The line Ax + By = C will form a triangle with the x and y axis for what values of A, B, and C?

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Changing Intercepts

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Discover what happens to the graph when you vary the values for n and b in the equation g(n) = n2 + b.

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Zero Coefficients

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In the equation Ax + By = C, what happens when A or B or C is zero?

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