Test 3 Review GuideChapter 6: Exponential and Logarithmic Functions
Composite Functions• Evaluate a composite function.• Determine a composite function and find its domain (bonus topic for test 3).
Inverse Functions• Given the graph of a function, graph the inverse function .• Given a function, find its inverse.• Verify that two functions are inverses of each other.• Determine if a function is 1-1.
Exponential & Logarithmic Functions• Evaluate exponential functions.• Know the domain and range of an exponential function.• *Graph an exponential function by plotting points.• *Evaluate logarithmic functions without a calculator.• *Determine the domain of a logarithmic function.• *Graph a logarithmic function by plotting points.*Note: Items indicated with an * must be done without a calculator
Logarithmic Properties• Use the properties of logarithms to find the exact value of an expression.• Write a logarithmic expression as a sum or difference of logarithms and vice versa.• Use the Change-of-Base formula and a calculator to evaluate a logarithm.
Exponential & Logarithmic Equations• *Change an exponential expression to a logarithmic expression and vice versa.• Solve an exponential equation.• Solve logarithmic equations.• Solve exponential and logarithmic equation using the properties of logarithms.
Test 3 Review GuideChapter 12: Systems of Equations
Chapter 12: Systems of Equations• Solve a system of two or three linear equations (three equations is bonus material for test 3).• Solve a system of two non-linear equations.• Identify a Linear and non-Linear System• Find the partial fraction decomposition of a rational expression with the following denominators. • Two Linear Terms • One Squared Linear Term • A Quadratic Irreducible Term • A combination of two of the previous (bonus material)