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8.3

8.3. Graphing Reciprocal Functions. Reciprocal Function : has an equation of the form where a ( x ) is a linear function and a ( x ) ≠ 0. \\ Domain is limited to values for which the function is defined.

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8.3

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  1. 8.3 Graphing Reciprocal Functions

  2. Reciprocal Function: has an equation of the form where a(x) is a linear function and a(x) ≠ 0

  3. \\\\ • Domain is limited to values for which the function is defined.

  4. Determine the values of x for which is not defined. Give its domain.

  5. Asymptote: A line which a graph approaches, but never touches. • These lines are shown as dotted on a graph, because they shape the graph, but are not truly a part of it.

  6. A. Identify the asymptotes, domain, and range of the function.

  7. B. Identify the asymptotes, domain and range of the function.

  8. To graph these functions, • graph the horizontal and vertical asymptotes • Plot points on either side of the horizontal asymtote. • Connect the points with a curve, and DO NOT cross the asymptotes.

  9. A. Graph the function State the domain and range.

  10. Graph the function State the domain and range.

  11. A. COMMUTINGA commuter train has a nonstop service from one city to another, a distance of about 25 miles. Write an equation to represent the travel time between these two cities as a function of rail speed. Then graph the equation.

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