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chapter 3 - equations and inequalities/chapter 4 - graphs and transformations

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Term
Definition
quadratic inequalities   show
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simultaneous equations on graphs   show
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inequalities   show
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show {variable ∈ domain of variable (can be omitted if its the reals): condition on variable} can be used with U/n to combine multiple sets together “a variable in the set of (domain) such that the variable follows (condition)”  
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show when multiplying by a variable, unless otherwise stated, multiply by it’s square to ensure that the inequality is not multiplied by a negative  
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show f(x) > g(x) forms the set of points that on the functions such that f(x) is higher than g(x)  
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show the shaded area often represents the final inequality, with dashed lines used for equations that are not a part of it (solid lines if they are)  
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cubic functions   show
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show a polynomial in which the index is 4, contains a maximum of 2 turning points the limits as x approaches the infinities will always be infinities with the same sign  
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show have an asymptote at the axis if n is even, will be symmetrical across the y-axis  
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translations   show
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show f(ax) represents a stretch parallel to the x axis by a factor of 1/a (a=-1 is a reflection in the y-axis) af(x) represents a stretch parallel to the y axis by a factor of a (a=-1 is a reflection in the x-axis)  
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show manipulating a function in a way such that the function, all the points within it and any asymptotes it may have all “move” the same way  
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Created by: That cool NAMe
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