Page 108: 1-8, 17, 21, 51, 53
- For 1-8 you need to match the graph to each function...consider the following:
- We know if the highest exponent is 1, the graph is a line
- We know if the highest exponent is 2, the graph is a parabola
- For functions with exponents higher than 1/2 we need to consider...
- End behavior: look at the leading coefficient to determine what the graph does on the left/right
- Possible maxima/minima: look at the highest exponent! Remember the function can only have n-1 possible maxima/minima
- Possible zeros: look at the highest exponent! Remember the function can have only n possible zeros
- If the graph "bounces" off of the zero/x-axis it counts as 2/4/6 zeros... (even multiplicity)
- If the graph 'crosses" through the zero/x-axis it counts as 1/3/5... zeros (odd multiplicity)
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