Unit 3: Rational Functions

References for the questions:

• Unit 3.1; Reciprocal of a linear function in the form f(x)= 1/kx-c
• Unit 3.2; Reciprocal of a quadratic function
• Unit 3.3; Rational functions of the form f(x)= ax+b/cx+d

Use and state the key features (Vertical Asymptote, Horizontal Asymptote, X-Intercept, Y-intercept) and graph the following. As well as state the domain and range and describe behaviour of the function near asymptotes, and end behaviour (example as x-> -2^+) ...

1. y= -9/x+3
2. y= 20/x^2-4x-5
3. y= -18/ x^2-6x+9
4. y=30/x^2 +10
5. y=3x-3/2x+1