1. Chapter 3 Rational Functions!!!

2. The Reciprocal of a Linear Function re·cip·ro·cate / rə’siprə,kāt/ As we continue with our mathematical modeling, we are going to examine the reciprocals of a few functions we have already studied…. This is the easiest starting spot….

3. The reciprocal of a number is…. The reciprocal of x = 1/x The reciprocal of

4. These functions are used in rate of change problems

5. So…..what does the graph of a reciprocal function look like?....

6. Sketch the following This creates the issue of “division by zero”

7. easy

8. Tricky… Examine the denominator first…. (it can not be equal to zero) 2x – 3 = 0 2x = 3 x = 3/2 Therefore x can not equal 3/2

10. Try some values for x on either side of the asymptote.

11. Pg 153 1a,b 2a 3a 5a 6 (calculator) 7a,c,e,g 8 10(examine the answers)