MATH 111 Week 2 Discussion 1 | american-public-university-system
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MATH 111 Week 2 Discussion 1 | american-public-university-system
During week 2 you should have been continued your exploration of
Functions and Their Graphs.
Just a quick check
·
Remember that domain and range are describing
all possible x and all possible y values, respectively. If you get them
confused think about “d” before “r” and “x” before “y”. It is easy to switch
them around.
·
If you have a fractional function, you have to
remember that the domain can be determined by deciding where the denominator
will be equal to zero. You might have to factor it and then use the zero
product rules.
·
Piecewise functions need to be plotted based
on the value of x.
·
Please memorize the shape of the graphs, you
will need to know them.
·
Understand that any graph can change in shape
based on the reflection, horizontal shifts, vertical shifts, and whether it is
skinnier or wider than the original function. You should be able to look at any
function and state whether any of the four shifts have taken place by just
looking at the function.
·
Reflections are usually around an axis,
symmetry can be around an equation, which could be considered the “fold line”
of the curve.
·
When you use operations on functions, standard
algebraic rules apply.
·
Composite functions are made up of multiple
functions.
·
The difference function if basically the slope
of the function between two points.
·
Rational functions usually have a value which
will make the function undefined (sometimes more than one)
·
Vertical and Horizontal Asymptotes are
basically "do not cross" lines for the function.
·
Inverse Functions "switch" the
values of x and y.
For Week 3 you will be looking at Quadratic Functions, Composite
Functions, Rational Functions, and Inverse Functions.
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