Final Exam monitored on camera, via Webex.Subject: College Algebra & Trigonometry
Unit: MAT 175Time length: Two hours.Number of questions: Not specified. All previous exams consisted of 11 questions, so, maybe it will be 11 again? Unsure.
Deadline: Tuesday, 11 May at 6pm/1800. Exam must be opened at 6pm/1800, and completed by 8pm/2000.Requesting Himanshu take this exam, if they are available.
4/16/2018 Mat 175 Professor Gebuza Final Exam Study Guide Chapter 1, sections 1.1-1.6 Graphs and solutions of equations and functions: o x and y intercepts, domain and range Distance and midpoint between two points o Equation of a circle: center and radius Linear functions: o Slope, zeros o Slope-intercept and point-slope equation o Vertical, horizontal, parallel and perpendicular lines o Applications of slope: Average Rate of Change Solving equations and inequalities in one variable Chapter 2, sections 2.1-2.6 Increasing, decreasing and constant functions Relative maxima and minima Piecewise functions Composition of functions Symmetry with respect to x, y-axis and origin (even and odd functions) Transformations of graphs: o Vertical and horizontal translations of graphs o Reflections across x-axis and y-axis o Vertical and horizontal stretching and shrinking Direct and indirect variation: variation constant and equation of variation Chapter 3, sections 3.1-3.5 Complex numbers in a + bi form Addition, subtraction and multiplication of complex numbers Solving quadratic equations: o Principle of Zero products and Square Roots o Completing the Square and Quadratic Formula o Discriminant of the quadratic equation 4/16/2018 Mat 175 Professor Gebuza Final Exam Study Guide Graphing quadratic functions: o Vertex, axis of symmetry, minimum and maximum values, domain and range, intervals on which quadratic function increases/decreases Solving rational and radical equations Solving equations and inequalities with absolute value Chapter 4, section 4.1 & 4.2 Polynomial functions: leading term, leading coefficient & degree of function Leading term test Zeros of polynomial functions, Multiplicity and Intermediate Value theorem Graphing polynomial functions Chapter 9, section 9.1 Solving system of equations graphically, using the substitution or elimination method Chapter 6, sections 6.1-6.6 Trigonometric functions of acute angles in right triangle: o Reciprocal functions o Trigonometric functions of 45, 30 & 60 degree angles o Cofunction identities Angle measure in DMS form Solving a right triangle: o Application problems: angle of elevation, angle of depression, bearing Trigonometric functions of any angle: o Positive and negative rotation, coterminal angles, complimentary and supplementary angles, reference angle Unit circle: o Angle measure in radians o Converting between degree and radian (radian & degree) measures o Angular and linear speeds 4/16/2018 Mat 175 Professor Gebuza Final Exam Study Guide Trigonometric functions using a unit circle: o Reflections on a unit circle Graphs of trigonometric functions: o Domain and range, period, amplitude o Odd and even trigonometric functions Transformations of Sine and Cosine functions: o Vertical and horizontal shift o Vertical and horizontal stretching or shrinking o Reflections across x and y-axis o Combined transformations Note: Anything covered in class, in Blackboard, in the homework, or in the textbook is eligible for the exam. However, the above topics represent the major part of the exam.