1. In Exercises 21 - 26, graph the function. Find the slope, y-intercept and x-intercept, if any exist.

Use some additional/different points than the solutions 2.1 #21 and 23 wk 3

f(x) = 2x − 1

 

f(x) = 3

 

2. solve the equation analytically wk 7 6.4  #15 and 17

 log3 (x − 4) + log3 (x + 4) = 2

  log169(3x + 7) − log169(5x − 9) = 1 2

 

3. use the six-step procedure to graph the rational function. Be sure to draw any asymptotes as dashed lines. #7 4.2

 

 f(x) =

 

Steps for Graphing Rational Functions Suppose r is a rational function.6 STEPS

 

 1. Find the domain of r.

 2. Reduce r(x) to lowest terms, if applicable.

 3. Find the x- and y-intercepts of the graph of y = r(x), if they exist.

4. Determine the location of any vertical asymptotes or holes in the graph, if they exist. Analyze the behavior of r on either side of the vertical asymptotes, if applicable.

5. Analyze the end behavior of r. Find the horizontal or slant asymptote, if one exists.

6. Use a sign diagram and plot additional points, as needed, to sketch the graph of y = r(x).

 

 

 

 

 

 

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