Functions 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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| Function | A relationship between two quantities in which each input value has ONLY ONE output value
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| Domain | The set of all input values of a function (x - values)
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| Range | The set of all output values of a function (y-values or f(x) values)
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| Vertical Line Test | draw vertical lines over a graph and if the lines only intersect the graph once, it is a function. If any lines intersect the graph more than once, it is not a function
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| Function Notation | Change y to f(x); for example, y = 2x would change to f(x) = 2x
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| General Equation of a Linear Function | f(x) = mx + b; m = slope, b = y-intercept
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| Slope | Change in y (or f(x)) over change in x; the letter m in f(x) = mx + b
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| y-intercept | The y-value of the point where the graph crosses the y-axis; (0, ?) ? is the y-intercept; the letter b in f(x) = mx + b
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| Line Symmetry | Exists when a line can be drawn that splits the figure into two halves that are mirror images of each other.
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| Point Symmetry | Exists when an object looks exactly the same when turned upside down (rotated 180 degrees); point symmetry is a type of rotational symmetry
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| Rotational Symmetry | Exists when an objects looks exactly the same when turned less than 360 degrees
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| Reflection | A transformation that flips a figure over a given line to create a mirror image. When you reflect in the x-axis, the ordered pair changes from (x, y) to (x, -y). When you reflect in the y-axis, the ordered pair changes from (x, y) to (-x, y)
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| Translation | A transformation that slides a figure to a new location. The numbers next to T describe the slide. For example, T(2,-1) represents a slide two units to the right and 1 unit down
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| Dilation | A transformation that reduces or enlarges a figure by a given scale factor (the number next to D); dilation = multiplication
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| Linear Equation y = mx + b. m = ? b = ? | m = slope and b = y-intercept
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Created by:
Math7
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