Transcript 5-7 Describe and Compare Function Characteristics

5-7 Describe and Compare
Function Characteristics
Graphs can tell you a lot…
Of course, labeling your axis is VERY IMPORTANT (hint,
hint). But the shape the graph takes can tell you much
more…
More graph jokes (courtesy of
XKCD.com)…
Ex 1: Sketch a graph to illustrate the
situation.
The temperature (in F) during a snowstorm slowly decreased at
the start of the storm, reached its coldest halfway through the
storm, quickly rose above the temperature at the start of the
storm, and then decreased to the temperature at the start of
the storm.
Odd Vs. Even
I know that you have all heard that there are odd and even
numbers…functions are considered odd and even as well!
Even Function: (def) if f(-x)=f(x),
then the function is considered
to be even. Notice that the graph
of an even function is also symmetric
about the y-axis.
Odd Function: (def) if f(-x)=-f(x), then
the function is considered to be odd. The
graph of an odd function is symmetric
about the origin (if you were to rotate
the graph 180 degrees, it would look the
same).
Ex 2: Determine whether the function
is even, odd, or neither.