시험 준비하세요

강의 계획서를 업로드하고 무엇을 언제 공부할지 추천받으세요. 강의 계획서가 없나요? 시험 일정표를 공유하는 것도 효과적입니다.

또는

Skip topic navigation

0. Fundamental Concepts of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
(0)

Multiplying Polynomials
(0)

Factoring Polynomials
(0)

Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
(0)

Pythagorean Theorem & Basics of Triangles
(0)

1. Equations and Inequalities(0)

Linear Equations
(0)

Rational Equations
(0)

The Imaginary Unit
(0)

Powers of i
(0)

Complex Numbers
(0)

Intro to Quadratic Equations
(0)

The Square Root Property
(0)

Completing the Square
(0)

The Quadratic Formula
(0)

Choosing a Method to Solve Quadratics
(0)

Linear Inequalities
(0)

2. Graphs(0)

Graphs and Coordinates
(0)

Two-Variable Equations
(0)

Lines
(0)

3. Functions & Graphs(0)

Intro to Functions & Their Graphs
(0)

Common Functions
(0)

Transformations
(0)

Function Operations
(0)

Function Composition
(0)

4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
(0)

Graphing Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
(0)

Asymptotes
(0)

Graphing Rational Functions
(0)

6. Exponential and Logarithmic Functions(0)

Introduction to Exponential Functions
(0)

Graphing Exponential Functions
(0)

The Number e
(0)

Introduction to Logarithms
(0)

Graphing Logarithmic Functions
(0)

Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
(0)

7. Measuring Angles(0)

Angles in Standard Position
(0)

Coterminal Angles
(0)

Complementary and Supplementary Angles
(0)

Radians
(0)

8. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
(0)

Special Right Triangles
(0)

Cofunctions of Complementary Angles
(0)

Solving Right Triangles
(0)

9. Unit Circle(0)

Defining the Unit Circle
(0)

Trigonometric Functions on the Unit Circle
(0)

Common Values of Sine, Cosine, & Tangent
(0)

Reference Angles
(0)

Reciprocal Trigonometric Functions on the Unit Circle
(0)

10. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
(0)

Phase Shifts
(0)

Graphs of Secant and Cosecant Functions
(0)

Graphs of Tangent and Cotangent Functions
(0)

11. Inverse Trigonometric Functions and Basic Trig Equations(0)

Inverse Sine, Cosine, & Tangent
(0)

Evaluate Composite Trig Functions
(0)

Linear Trigonometric Equations
(0)

12. Trigonometric Identities (0)

Introduction to Trigonometric Identities
(0)

Sum and Difference Identities
(0)

Double Angle Identities
(0)

Solving Trigonometric Equations Using Identities
(0)

13. Non-Right Triangles(0)

Law of Sines
(0)

Law of Cosines
(0)

Area of SAS & ASA Triangles
(0)

14. Vectors(0)

Geometric Vectors
(0)

Vectors in Component Form
(0)

Direction of a Vector
(0)

Unit Vectors and i & j Notation
(0)

Dot Product
(0)

Cross Product
(0)

15. Polar Equations(0)

Polar Coordinate System
(0)

Convert Points Between Polar and Rectangular Coordinates
(0)

Convert Equations Between Polar and Rectangular Forms
(0)

Graphing Other Common Polar Equations
(0)

16. Parametric Equations(0)

Graphing Parametric Equations
(0)

Eliminate the Parameter
(0)

Writing Parametric Equations
(0)

17. Graphing Complex Numbers(0)

Graphing Complex Numbers
(0)

Polar Form of Complex Numbers
(0)

Products and Quotients of Complex Numbers
(0)

Powers of Complex Numbers (DeMoivre's Theorem)
(0)

18. Systems of Equations and Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

19. Conic Sections(0)

Introduction to Conic Sections
(0)

Circles
(0)

Ellipses: Standard Form
(0)

Parabolas
(0)

Hyperbolas at the Origin
(0)

Hyperbolas NOT at the Origin
(0)

20. Sequences, Series & Induction(0)

Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

21. Combinatorics and Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

22. Limits & Continuity(0)

Introduction to Limits
(0)

Finding Limits Algebraically
(0)

Continuity
(0)

23. Intro to Derivatives & Area Under the Curve(0)

Tangent Lines & Derivatives
(0)

Limits at Infinity
(0)

Limits of Sequences
(0)

Area Under a Curve
(0)

4. Polynomial Functions

Understanding Polynomial Functions

4. Polynomial Functions

Understanding Polynomial Functions: 동영상 및 연습문제

비디오 강의 실무 워크시트

20 문제점

문제 1객관식

Factor completely:

x³ + 4x² -25x - 100

views

rank

문제 2객관식

Justify that the polynomial f(x) = x³ + 4x - 3 has a real zero in between 0 and 1 by using the Intermediate Value Theorem.

views

rank

문제 3객관식

Identify the zeros of the given polynomial function and state their multiplicities. Describe also how the graph behaves with the x-axis.

f(x) = x³ + 8x² - 9x - 72

views

문제 4객관식

Determine if the following function is a polynomial or not. If it is, what is its degree?

f(x) = x^1/5 - 5x⁶ + 1

views

rank

문제 5객관식

For the following function, graph and identify its domain's open intervals for which the function is increasing or decreasing. f(x) = (1/5)(x + 5)⁴ - 5

views

문제 6객관식

Consider the function f(x) = -(x - 4)² + 6 and find the largest open interval of the domain at which the function is increasing and decreasing.

views

문제 7객관식

For the following polynomial function, determine whether the real zero satisfies the given condition or not.

f(x) = 4x⁵ - 3x⁴ + 5x³ - 7x² + 12x - 11; no real zero greater than 4

views

문제 8객관식

A cardboard has a dimension of 100 cm by 70 cm. This will be turned into a storage box by cutting squares from each of its corners and folding up its sides. The squares will be of the same dimensions. Let x be the length, in centimeters, of the side of each square to be cut. Determine the value of x that will maximize the volume of the storage box by using the table feature of a graphing utility. Express your answer in two decimal places.

views

문제 9객관식

Find the x-intercepts of the polynomial f(x) = x^3 - 4x^2 + 4x.

Which of the following functions is a polynomial?

views

문제 11객관식

What is the degree and leading coefficient of the polynomial f(x) = 4x^3 - x^2 + 2x - 5?

views

문제 12객관식

Which of the following graphs represents a polynomial function?

views

문제 13객관식

What is the domain of any polynomial function?

views

문제 14객관식

What is the end behavior of the polynomial f(x) = -3x^4 + 2x^3 - x + 5 as x approaches infinity?

views

문제 15객관식

What is the behavior of the graph at x = 2 for the polynomial f(x) = (x - 2)^3?

views

문제 16객관식

What is the maximum number of turning points for the polynomial f(x) = x^5 - 3x^4 + 2x^3?

views

문제 17객관식

Which of the following is the correct graph for the polynomial f(x) = x^3 - 3x^2 + 2x?

views

문제 18객관식

A company models its profit using the polynomial P(x) = -2x^3 + 5x^2 + 3x - 4, where x is the number of units sold. What is the maximum number of turning points in the profit model, and what does this imply about the company's profit behavior?

views

문제 19객관식

Which of the following is NOT a characteristic of a polynomial function?

views

문제 20객관식

Convert the polynomial f(x) = 3x - 4x^5 + 2x^3 into standard form and identify its degree and leading coefficient.

views