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Module 3

Spring 2021


Horizontales
Transforming f(x) to f(cx) where c is less than 1. For example: f(x) transforms to f(x/2)
Transforming f(x) to cf(x) where c is less than 1. for example: f(x) becomes (1/2) f(x)
Values of x for which f(x) is defined. Not necessarily one interval. May be unions of intervals ( see piecewise functions)
Transforming f(x) to cf(x) where c is greater than 1. For example: f(x) becomes 2f(x)
Transforming f(x) to -f(x)
The output ; f(x)
Transforming f(x) to f(x + c)
For an interval (a,b) with x1 and x2 as elements of the interval and x1 < x2. If f(x2) > f(x1) for all x in this interval: The graph moves up from left to right for all x values on some given open interval.
For an interval (a,b) with x1 and x2 as elements of the interval and x1 < x2. If f(x1) > f(x2) for all x in this interval: The graph moves down from left to right for all x values on some given open interval.
Verticales
[ f(x2) - f(x1) ] / [ x2 - x1 ] This would be the slope if the function is a line.
Transforming f(x) to f(x - c)
A particular relation in which each x has only one y.
Any set of ordered pairs