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# PLATO PreCalculus Final Exam Information

Your final exam is due on June 6; seniors, yours is due on May 31.

· The exam will count for 15% of your fourth marking period grade.

· The final will lock at 11:55 PM on June 6.

· You have 1 attempt; if you are not done when the final locks, you will receive a grade of 0 for each unanswered question.

Please don’t start the final until you have completed all the assignments leading up to it, as you will not be able to get a good grade without completing the prerequisite lessons.

The following topics will be covered on the final examination:

Equations and Inequalities

o Linear Equations

o Problem Solving

o Linear Inequalities

o Equations and Inequalities with Absolute Value

o Complex Numbers

o Other Types of Equations

Graphs

o Graphing Points and Equations

o Distances and Circles in the Coordinate Plane

o Slope and Intercept in Linear Equations

o Graphing Linear Equations

o Using Linear Models to Solve Problems

o Regression Lines and Correlation Coefficients

Functions and Their Graphs

o Graphs of Functions

o Piecewise Functions

o Transformation of functions

o Combining Functions

o Inverse Functions

Polynomial and Rational Functions

o Polynomial Functions

o Graphs of Polynomial Functions

o Graphing Polynomial Functions

o Rational Functions

o Polynomial and Rational Inequalities

o Further Analysis of Rational Functions

Exponential and Logarithmic Functions

o Exponential Functions

o Exponential Models

o Logarithmic Functions

o Logarithmic Models

o Solving Exponential and Logarithmic Functions

Trigonometric Functions

o Angles and Their Measures

o Trigonometric Functions and the Unit Circle

o Problems involving right Triangles

o Trigonometric Functions

o Trigonometric Graphs

o Inverse Trigonometric Functions

Trigonometric Identities and Conditional Equations

o Basic Trigonometric Identities

o Sum, Difference and CoFunction Identities

o Double-Angle and Half-Angle Identities

o Product-Sum and Sum-Product Identities

o Solving Trigonometric Equations

Applications of Trigonometry

o Law of Sines

o Law of Cosines

o Vectors in a Plane

o Vectors and Dot Products

Matrices and Systems of Equations and Inequalities

o Solving Systems of Linear Equations Algebraically

o Solving Systems of NonLinear Equations Algebraically

o Gauss-Jordan Elimination

o Matrices and Matrix Operations

o Matrix Multiplication

o Solving Systems of Linear Equations with an Inverse Matrix

o Solving Systems of Inequalities with Graphs

o Solving Linear Programming Problems Graphically