Graded Assignments (Subject to Change)

Orientation Activity
 Activity Sheet
 Syllabus Quiz
 Introduction discussion
 21 MyMath Lab (MML) Homework
 6 Quizzes
 6 Quizzes Discussions [more details]
 5 Apply the Concepts MiniProject
 Semester Exam (Proctoredon campus)
UNIT Information
Unit 1: Sections 1.1  1.3
Section 1.1: Graphs and Graphing Utilities
 Plot points in the rectangular coordinate system.
 Graph equations in the rectangular coordinate system.
 Interpret information about a graphing utility’s viewing rectangle or table.
 Use a graph to determine intercepts. Interpret information from graphs.
Section 1.2: Basics of Functions and their Graphs
 Find the domain and range of a relation.
 Determine whether a relation is a function.
 Determine if an equation represents a function.
 Evaluate a function.
 Graph functions by plotting points.
 Use the vertical line test to identify functions.
 Obtain information from a graph.
 Identify the domain and range from a graph.
 Identify intercepts from a graph.
Section 1.3: More on Functions and their Graphs
 Understand and use piecewise functions.
 Identify intervals on which a function increases, decreases, or is constant.
 Use graphs to locate relative maxima or minima.
 Identify even or odd functions and recognize the symmetries.
 Graph step functions.
 Find and simplify a function’s difference quotient.
Learning Unit 2: Sections 1.4  1.6
Section 1.4: Linear Functions and Slope
 Calculate a line's slope
 Write the equation of a line in pointslope form, slopeintercept form, and general
 form.
 Graph using the slopeintercept form of a line or using intercepts.
 Graph vertical and horizontal lines. Model data with linear functions and predict.
Section 1.5: More on Slope
 Find slopes and equations of parallel and perpendicular lines.
 Interpret slope as a rate of change.
 Find a function's average rate of change.
Section 1.6: Transformations of Functions
 Recognize graphs of common functions,
 Use any and all of the following transformations to graph functions: Vertical Shift,
 Horizontal Shift, X axis Reflection, Y axis Reflection, Vertical stretching/shrinking,
 Horizontal stretching/shrinking.
Learning Unit 3: Sections 1.7  1.9 , P7
Section 1.7: Combinations of Functions; Composite Functions
 To find the domain of functions algebraically
 To add, subtract, multiply, and divide functions: f+g, f  g, fg, f/g
 To find composite functions
 To find the domain of combined and composite functions
Section 1.8: Inverse Functions
 Verify that functions are inverses
 Find the inverse of a function
 Explore onetoone functions
 Use the Horizontal Line Test to see if a function has an inverse
Section 1.9: Distance and Midpoint; Circles
 Find the distance between two points
 Find the midpoint of a line segment
 Write the equation of circle in standard form
 Determine the radius and center of a circle whose equation is in standard form
Learning Unit 4: Sections 2.1 to 2.3
Section 2.1: Complex Numbers
 Add & subtract complex numbers
 Multiply complex numbers
 Divide complex numbers
 Perform operations with square roots of negative numbers
Section 2.2: Quadratic Functions
 Recognize characteristics of parabolas
 Graph parabolas
 Determine a quadratic function’s minimum or maximum value.
 Solve problems involving a quadratic function’s minimum or maximum value.
Section 2.3: Polynomial Functions and Their Graphs
 Identify polynomial functions
 Recognize characteristics of polynomial functions
 Determine end behavior
 Using factoring to find zeros of polynomial functions
 Identify zeros and their multiplicity
 Use the Intermediate Value Theorem
 Understand the relationship between degree and turning points.
 Graph polynomial functions
Learning Unit 5: Sections 2.4 to 2.6
2.4 Dividing Polynomials; Remainder and Factor Theorems
 Using long division to divide polynomials
 Using synthetic division to divide polynomials
 Evaluate polynomials using the Remainder Theorem
 Use the Factor Theorem to solve polynomials
2.5 Zeros of Polynomial Functions
 Use Rational Zero Theorem to find possible zeros.
 Find zeros of a polynomial function.
 Solve polynomial equations.
 Use the Linear Factorization Theorem to find polynomials, given the zeros.
 Use Descartes’s Rule of Signs
2.6 Rational Functions & Their Graphs
 Find domain of rational functions.
 Use arrow notation.
 Identify vertical asymptotes.
 Identify horizontal asymptotes.
 Use transformations to graph rational functions.
 Graph rational functions.
 Identify slant (oblique) asymptotes.
 Solve applied problems with rational functions.
Learning Unit 6: Sections 3.1 to 3.3
Section 3.1 Evaluate exponential functions.
 Graph exponential functions.
 Evaluate functions with base e.
 Use compound interest formulas.
Section 3.2 Change from logarithmic to exponential form.
 Change from exponential to logarithmic form.
 Evaluate logarithms.
 Use basic logarithmic properties.
 Graph logarithmic functions.
 Find the domain of a logarithmic function.
 Use common logarithms.
 Use natural logarithms.
Section 3.3 Properties of Logarithms
 Use the product rule
 Use the quotient rue
 Use the power rule
 Expanded logarithmic expressions
 Condense logarithmic expressions
 Use the changeofbase property
Learning Unit 7: Sections 3.4 to 3.5
Section 3.4 Use like bases to solve exponential equations.
 Use logarithms to solve exponential equations
 Use the definition of a logarithm to solve logarithmic equations
 Use the onetoone property of logarithms to solve logarithmic equations
 Solve applied problems involving exponential and logarithmic equations
Section 3.5 Models of exponentai growth and decay
 Use logistic growth model
 Use Newton's Law of Cooling
 Choose an appropriate model for data
 Express an exponential model in base e