4/16/2018 Mat 175 Professor Gebuza Final Exam Study Guide Chapter 1, sections XXXXXXXXXX  Graphs and solutions of equations and functions: o x and y intercepts, domain and range  Distance and...

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4/16/2018 Mat 175 Professor Gebuza

Final Exam Study Guide
Chapter 1, sections XXXXXXXXXX
 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 XXXXXXXXXX
 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 XXXXXXXXXX
 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 XXXXXXXXXX
 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.
Answered 2 days AfterMay 09, 2021

Solution

Rajeswari R answered on May 11 2021
24 Votes

83622 assignment
Substitute (1,-4) in the equation
Left side = 2(1)-(-4) = 6 equals right side
Hence true.
Keep y on one side and others on next side
2x-y = 6
-y = -2x+6...

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