Supplemental Work for College Algebra.  

College Algebra Expected Educational Results (EERs)  
Supplemental Problems 
Sample Quiz 
Video 

EER 1 Understand the definition of a function. 

EER 2 Determine the domain, range, and where a function is increasing, decreasing or constant for each type of function studied in the course. 

EER 3 Students will be able to interpret the slope and yintercept of a line as an average rate of change and an initial amount, respectively. Students will be able to interpret and apply these ideas in applied settings. 

EER
4 Graph transformations (vertical and horizontal shifts, vertical stretching and compressions, and reflections) of basic functions. Transformation videos 
Quiz EER 4 
Solutions to the Quiz EER 4 (video coming soon) Solutions to the Quiz EER 4 (pdf) 

EER
5 Graph quadratic functions of the form y = a x^2 + b x + c by determining the vertex and intercepts. Students will be able to interpret and apply these ideas in applied settings 
Solutions to the Quiz EER 5  
EER 6 Identify and graph power functions, transformations of power functions, and polynomial functions where the polynomial is factorable. Students will be able to describe the end behavior of polynomials and the relationship between end behavior and the degree of the polynomial. Students will be able to determine intercepts of factorable polynomials exactly. Students will be able to use technology to approximate xintercepts and turning points of polynomials. 

EER 7 Identify and graph transformations of y = 1/x and y = 1/x^2. Students will be able to recognize and determine vertical and horizontal asymptotes, end behavior, and behavior near vertical asymptotes. Supplement 3 Transformations of 1/x Supplement 4 Transformations of 1/x^2 
Solutions to the Quiz EER 7  
EER 8 Relate algebraic solutions to the following types of equations to the graphs of corresponding functions and applications:

Quiz EER 8 
Solutions to the Quiz EER
8(Video coming soon) Solutions to the Quiz EER 8 (pdf) 

EER 9 Graph piecewise defined functions. 

EER 10 Students will be able to determine the symmetry of functions algebraically and graphically 

EER 11 Compose two functions and determine the domain of the composite function. Composition Supplement 
Quiz EER 11  Solutions to the Quiz EER 11  
EER 12 Define an inverse function, get a rule for an inverse function, and graph an inverse function. Inverse Supplement 
Quiz EER 12  Solutions to the Quiz EER 12  
EER 13 Graph exponential functions of the form y = a^x and their transformations. Students should also be able to graph the inverse function of y = a^x. 

EER 14 Solve simple exponential equations both graphically and using logarithms 

EER 15 Apply exponential functions to problems involving exponential growth or decay. Supplement 
Quiz EER 15  Solutions to the Quiz EER 15  
EER 16 Define a logarithm, convert between logarithmic and exponential form, and understand the inverse relationship between logarithmic and exponential functions 

EER 17 Use properties of logarithms to solve logarithmic equations and use logarithms in application problems 
Quiz EER 17 
Solutions
to the Quiz EER 17 (video) Solutions to the Quiz EER 17 (pdf) 

EER 18 Use function graphs to determine solutions to the following types of inequalities and apply these solutions to concepts related to functions and other applications:a. Linear b. Quadratic c. Factorable Polynomial d. Rational e. Exponential 
Quiz EER 18  Solutions to the Quiz EER 18  
EER 19 Solve nonlinear systems of equations analytically and graphically. 
Quiz EER 19  Solutions to the Quiz EER 19  
EER 20 Graph circles whose equations are given in general form by completing the square. Circle Supplement 
Quiz EER 21  Solutions to the Quiz EER 21  
Sample Quiz On
All EERs 

Supplement 1  Equations with Rational powers  
Supplement 2  Using Graphs to solve Inequalities  
Solve Exponential and Logarithmic Equations  
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