3.1: Reciprocal of a Linear Function
- Determine the graph of a reciprocal of a linear function
- Vertical and horizontal asymptotes of a reciprocal of a linear function
3.1_reciprocal_of_a_linear_function_2014.pdf | |
File Size: | 284 kb |
File Type: |
3.2: Reciprocal of a Quadratic Function
- Anaylzing rational functions using key features such as: asymptotes, intercepts, slope (positive or negative, increasing or decreasing), domain, range, and positive and negative intervals
- Determining the behaviour of the function near an asymptote
- Determining the end behavour of a function
3.2_reciprocal_of_a_quadratic_function.pdf | |
File Size: | 550 kb |
File Type: |
3.3: Rational Functions of the Form f(x) = ax+b/cx+d
- Determining the equation of the vertical and horizontal asymptote
- Graphing rational functions of this form and analyzing rates of change, positive and negative intervals, intervals of increase and decrease.
3.3_rational_functions_of_the_form_fxaxb_cxd.pdf | |
File Size: | 627 kb |
File Type: |
Rational Functions: Holes and Oblique Asymptotes
- How to identify whether your rational function has a point discontinuity, line discontinuity, or an oblique (slant) asymptote
- How to determine the equation of an oblique/slant asymptote
rational_functions_holes_and_oblique_asymptotes.pdf | |
File Size: | 810 kb |
File Type: |
3.4: Solve Rational Equations and Inequalities
- Solve rational equations by factoring expressions in the numerator and denominators to find asymptotes and restrictions, then simplify and solve using the methods of chapter 2.
- Solve rational inequalities by setting the right side equal to 0, then use test points to determine the sign of the expression in each interval.
- Rational equations and inequalities can be solved graphically using technology
- Tables and number lines are useful in organizing intervals and providing a visual clue to solutions.
3.4_solve_rational_equations_and_inequalities.pdf | |
File Size: | 628 kb |
File Type: |