Review Sheet for Chapter Two - Herrera's Math
Review Sheet for Polynomial and Rational Functions
You should be able to do the following things on the test:
Without a calculator
Solve any quadratic equation by Section 1-5
• factoring
• taking square roots
• using the quadratic formula
Use the discriminant to determine number of roots of a quadratic function In class notes
Put any quadratic equation in vertex form by completing the square Sections 1-5 and 3-4
Accurately sketch any quadratic equation by algebraically finding the Section 3-4
• vertex and axis of symmetry
• roots / zeros / x-intercepts
• y-intercept
Find the vertical and/or horizontal asymptotes of any rational function Section 4-4
Sketch and rational function Section 4-4
Identify, explain or create transformations of any rational function Section 4-4
Solve any rational equation Class Worksheets
Solve word problems related to quadratic and rational functions Class Worksheets
With a calculator – all of the above, plus…
Accurately sketch any polynomial function by finding the Calculator Exercises
• vertex and axis of symmetry
• roots / zeros / x-intercepts
• y-intercept
• maxima or minima
Find the solutions of any polynomial function Calculator Exercises
Accurately sketch any rational function by finding the Section 4-4
• vertical and horizontal asymptotes
• roots / zeros / x-intercepts
• y-intercept
Solve any rational equation using Y1, Y2, and Intersect Class Worksheets
Identify the domain, range, increasing or decreasing intervals of any function Calculator Exercises
Solve word problems related to these concepts Class Worksheets
These problems would be good to review before the test:
217-219: 7, 11, 13, 15, 25, 29, 35, 37, 39
323-325: 1, 4, 11, 12, 34, 49
*Also, review your worksheets to review word problems involving rational equations and for solving rational equations analytically.
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