Supplemental Work for College Algebra.

 The college algebra objectives are listed in the document below. Assessment testing of our students show that extra help and assignments in certain areas would be helpful.  Therefore the college algebra committee has prepared several documents for students.  Please note that there are 3 types of things here. The first column is notes and examples of the objectives.  The second column is a self quiz on the objective and the third column is the video showing the solutions to the self quiz. Assessment is an ongoing process.  Students will want to study these notes, take the self quizzes and then view the videos explaining the problems on the self quiz.

 College Algebra Expected Educational Results (EERs) Supplemental Problems Sample Quiz Video EER 1 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 y-intercept 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 Quiz EER 5 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 x-intercepts 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 Quiz EER 7 Solutions to the Quiz EER 7 EER 8Relate algebraic solutions to the following types of equations to the graphs of corresponding functions and applications:   a. Linear b. Quadratic c. Factorable polynomial d. Rational e. Radical (involving only one radical) f. Equations of the form x^n = k Quiz EER 8 Solutions to the Quiz EER 8(Video coming soon) Solutions to the Quiz EER 8 (pdf) EER 9 Graph piece-wise 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 non-linear 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 Visitor Stats