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.
Help!
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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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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
That cool NAMe
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