E formulate systems of at least two linear inequalities in two variables.D determine the reasonableness of solutions to systems of a linear equation and a quadratic equation in two variables.
C solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation. B solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution. A formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic. 3 The student applies mathematical processes to formulate systems of equations and inequalities, use a variety of methods to solve, and analyze reasonableness of solutions. D use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other. C describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range and. B graph and write the inverse of a function using notation such as f-¹ (x). A graph the functions f(x)=√x, f(x)=1/x, f(x)=x³, f(x)= ³√x, f(x)=b to the x power, f(x)=|x|, and f(x)=logb (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval. 2 The student applies mathematical processes to understand that functions have distinct key attributes and understand the relationship between a function and its inverse. For more information about the MCAT exam, visit it now 2 Attributes of functions and their inverses The content is also included in the Pre-health Collection within MedEdPORTAL’s iCollaborative sponsored by the AAMC: *MCAT® is a program of the AAMC and related trademarks owned by the Association include Medical College Admission Test, MCAT, and MCAT2015. 
These videos, questions, and articles are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at ). All materials are categorized according to the pre-health competencies tested by the new MCAT exam however, the content in this collection is not intended to prescribe a program of study for the new MCAT exam. All content in this collection has been created under the direction of the Khan Academy and has been reviewed under the direction of the AAMC (Association of American Medical Colleges). Content will be added to the collection through 2015. The collection contains more than 1000 videos and 2800 practice questions. MCAT This collection is being developed for the revised MCAT® exam that will first be administered in April 2015.
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