Chapt 3
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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| Point symmetry | show 🗑
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| show | F(-x) =- f(x)
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| show | Tested by substituting (a,b) and (a, -b) into the equation produces equivalent equations.
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| Symmetry with respect to the y- axis | show 🗑
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| Symmetry with respect to the y=x line | show 🗑
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| show | Tested by substituting (a,b) and (-b,-a) into the equation produces equivalent equations
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| Even function | show 🗑
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| show | Functions whose graphs are symmetric with respect to the origin. F(-x) = f( -x). Can rotate the graph of the function by 180 degrees and it appears unchanged.
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| Parent graph | show 🗑
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| Reflection of y = -f(x) | show 🗑
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| show | Reflected over the y- axis
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| show | Translates the graph up c units
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| show | Translates the graph down c units
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| show | Translates the graph c units left
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| Translation of y = f(x - c) | show 🗑
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| Change to the parent graph y=f(x), c >0 Y = c f(x), c >1 | show 🗑
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| Change to the parent graph. y = f(x), c > 0 Y = c f(x), 0<c<1 | show 🗑
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| Change to the parent graph y=f(x), c>0 Y = f( cx), c>1 | show 🗑
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| Change to the parent graph y = f(cx), 0<c<1 | show 🗑
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| show | Only if one relation contains the elements (a,b) and the other relation contains the elements (b,a)
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| show | A test used to determine if the inverse of a relation is a function. If every horizontal line intersects the graph in at most one point, then the inverse is a function.
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| Asymptote | show 🗑
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| show | The behavior of a function as x goes to positive infinite and as x goes to negative infinite.
Written like
x-> + infinite, y->
x-> - infinite, y->
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| Maximum | show 🗑
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| Minimum | show 🗑
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| show | It is shown when a function is rotated about the line y = x. the equation can be found by switching the x's and y'x and solving for y.
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| Critical point | show 🗑
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| Absolute minimum | show 🗑
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| show | Is the maximum that has the largest y-value of the entire function.
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| show | When a function has a break, hole, or is undefined at any point.
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| Point of Inflection | show 🗑
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| show | A function is said to be this at point(x1,y1) if it id defined at that point and passes through the point without a break.
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| show | A function is this on an interval I if and only the function is increasing on I or decreasing on I.
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| show | A point that represents the maximum or minimum for a certain interval.
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| show | The graph of f(x) stops and then begins again with an open circle at a different range value for a given value of the domain.
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| show | As the graph of f(x) approaches a given value of x, f(x) becomes increasingly large without bound.
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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:
Ohs-Kays
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