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0. Review of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
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Multiplying Polynomials
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Factoring Polynomials
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Radical Expressions
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Simplifying Radical Expressions
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Rationalize Denominator
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Rational Exponents
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1. Equations & Inequalities(0)

Linear Equations
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Rational Equations
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The Imaginary Unit
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Powers of i
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Complex Numbers
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Intro to Quadratic Equations
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The Square Root Property
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Completing the Square
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The Quadratic Formula
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Choosing a Method to Solve Quadratics
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Linear Inequalities
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2. Graphs of Equations(0)

Graphs and Coordinates
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Two-Variable Equations
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Lines
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3. Functions(0)

Intro to Functions & Their Graphs
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Common Functions
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Transformations
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Function Operations
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Function Composition
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4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
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Graphing Polynomial Functions
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Dividing Polynomials
(0)

Zeros of Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
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Asymptotes
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Graphing Rational Functions
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6. Exponential & Logarithmic Functions(0)

Introduction to Exponential Functions
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Graphing Exponential Functions
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The Number e
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Introduction to Logarithms
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Graphing Logarithmic Functions
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Properties of Logarithms
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Solving Exponential and Logarithmic Equations
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7. Systems of Equations & Matrices(0)

Two Variable Systems of Linear Equations
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Introduction to Matrices
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Determinants and Cramer's Rule
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Graphing Systems of Inequalities
(0)

8. Conic Sections(0)

Introduction to Conic Sections
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Circles
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Ellipses: Standard Form
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Parabolas
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Hyperbolas at the Origin
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Hyperbolas NOT at the Origin
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9. Sequences, Series, & Induction(0)

Sequences
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Arithmetic Sequences
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Geometric Sequences
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10. Combinatorics & Probability(0)

Factorials
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Combinatorics
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Probability
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4. Polynomial Functions

Understanding Polynomial Functions

4. Polynomial Functions

Understanding Polynomial Functions: 동영상 및 연습문제

비디오 강의 실무 워크시트

89 문제점

연습하고 싶은 문제 유형:

문제 1객관식

Graph the following equations on one Cartesian coordinate plane and describe the effect of the coefficient of x² on the graph's appearance:

y = x², y = 5x², y = 1/5x²

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문제 2객관식

For the following function, graph and identify its domain's open intervals for which the function is increasing or decreasing. f(x) = 7x⁴

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문제 3객관식

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

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문제 4객관식

For the following function, graph and identify its domain's open intervals for which the function is increasing or decreasing. (1/5)(x - 5)² + 3

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문제 5객관식

For the following polynomial function, graph. f(x) = - 3x(x - 4)(x + 1)

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문제 6객관식

For the following polynomial function, graph. f(x) = - x(x + 3)(x - 3)

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문제 7객관식

Consider the function f(x) = (x + 8)² and find the largest open interval of the domain at which the function is increasing and decreasing.

문제 8객관식

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.

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문제 9객관식

Consider the function f(x) = x² + 12x + 40 and find the largest open interval of the domain at which the function is increasing and decreasing.

문제 10객관식

Consider the function f(x) = -2x² + 12x - 23 and find the largest open interval of the domain at which the function is increasing and decreasing.

문제 11객관식

For the following polynomial function, graph. f(x) = x²(x - 2)(x + 2)(x - 7)

문제 12객관식

For the following polynomial function, graph. f(x) = (5x - 2)(x + 1)²

문제 13객관식

For the following polynomial function, graph. f(x) = (2x + 5)(x + 1)²

문제 14객관식

For the following polynomial function, graph. f(x) = x³ + 2x² - 9x - 18

문제 15객관식

For the following polynomial function, graph. f(x) = - x³ + 2x² + 15x

문제 16객관식

For the following polynomial function, graph. f(x) = 6x³(x² - 1)(x - 2)

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문제 17객관식

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

f(x) = x⁴ - 3x³ + 6x² - 12x + 10; no real zero greater than 3

문제 18객관식

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

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문제 19객관식

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

f(x) = 2x⁴ + 3x³ - 6x² + 7; no real zero less than -4

문제 20객관식

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

f(x) = 3x⁵ + 5x³ - 7x² + 2x + 9; no real zero less than -5

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문제 21객관식