"MS 102 College Algebra Final Exam Review"
MS 112 College Algebra Final Exam Review In this course, we have worked with several families of functions: linear, quadratic, polynomial, rational, radical, exponential and logarithmic. The final exam consists of three parts. The first part consists of solving equations, the second part consists of graphing functions, and the third part consists of applications of functions. Part I – Solving Equations 1. Solve an equation involving a rational expression. (Test 1) 2. Solve an equation involving a radical expression. (Test1) 3. Solve quadratic equations. Some trinomials will factor into two binomials, and some will not. The solutions of a quadratic equation may be rational, irrational, or complex. A quadratic that will not factor can be solved by using the quadratic formula. (Test 2) 4. Solve a polynomial equation of degree greater than 2. (Test 3) 5. Solve an exponential equation.(Test 4) 6. Solve a logarithmic equation. (Test 4) Part II – Graphing Functions 1. Graph a linear function. The graph is a line. (Test 2) 2. Graph a quadratic function. The graph is a parabola. (Test 2) 3. Graph a polynomial function. The graph will cross the x axis at each root. In intervals where the function is positive, the graph is above the x axis. In intervals where the function is negative, the graph is below the x axis. (Test 3) 4. Graph a rational function. The graph will have a vertical asymptote for each value of x that makes the denominator equal to zero. (Test 3) 5. Graph an exponential function. (Test 4) 6. Graph a logarithmic function. (Test 4) Part III – Applications of Functions 1. Linear functions describe relationships where there is a fixed value (the intercept) and a variable value (the slope). Know how to represent this relationship with a function, and how to use the function to answer a question. (Test 2) 2. Exponential functions are commonly used in financial applications to describe the growth of an investment when the interest is compounded. (Test 4)