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5-7 Describe and Compare Function Characteristics

5-7 Describe and Compare Function Characteristics

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5-7 Describe and Compare Function Characteristics

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  1. 5-7 Describe and Compare Function Characteristics

  2. 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…

  3. More graph jokes (courtesy of XKCD.com)…

  4. 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.

  5. 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).

  6. Ex 2: Determine whether the function is even, odd, or neither.