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Power Functions
When you graph power functions that are to an even power such as x² or x^8, the graph will look similar to a parabola with a wider base and will be more narrow at the ends.  If the equation is positive the figure will open up, if it is negative the graph will open down. Graph of y=x² Graph of y=x^8
When you graph power functions that are to an odd power such as y=x³ or  y=x^8, the graph looks like a squiggly line and passes through the x-axis.  The tails point in opposite directions.   Graph of x³  Graph of y=x^7

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Power functions

  • 2. When you graph power functions that are to an even power such as x² or x^8, the graph will look similar to a parabola with a wider base and will be more narrow at the ends.  If the equation is positive the figure will open up, if it is negative the graph will open down. Graph of y=x² Graph of y=x^8
  • 3. When you graph power functions that are to an odd power such as y=x³ or y=x^8, the graph looks like a squiggly line and passes through the x-axis. The tails point in opposite directions. Graph of x³ Graph of y=x^7