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0. Fundamental Concepts of Algebra(0)

Algebraic Expressions
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Exponents
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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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Pythagorean Theorem & Basics of Triangles
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1. Equations and 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(0)

Graphs and Coordinates
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Two-Variable Equations
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Lines
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3. Functions & Graphs(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
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Understanding Polynomial Functions
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Graphing Polynomial Functions
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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 and 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. Measuring Angles(0)

Angles in Standard Position
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Coterminal Angles
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Complementary and Supplementary Angles
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Radians
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8. Trigonometric Functions on Right Triangles(0)

Trigonometric Functions on Right Triangles
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Special Right Triangles
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Cofunctions of Complementary Angles
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Solving Right Triangles
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9. Unit Circle(0)

Defining the Unit Circle
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Trigonometric Functions on the Unit Circle
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Common Values of Sine, Cosine, & Tangent
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Reference Angles
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Reciprocal Trigonometric Functions on the Unit Circle
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10. Graphing Trigonometric Functions(0)

Graphs of the Sine and Cosine Functions
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Phase Shifts
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Graphs of Secant and Cosecant Functions
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Graphs of Tangent and Cotangent Functions
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11. Inverse Trigonometric Functions and Basic Trig Equations(0)

Inverse Sine, Cosine, & Tangent
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Evaluate Composite Trig Functions
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Linear Trigonometric Equations
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12. Trigonometric Identities (0)

Introduction to Trigonometric Identities
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Sum and Difference Identities
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Double Angle Identities
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Solving Trigonometric Equations Using Identities
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13. Non-Right Triangles(0)

Law of Sines
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Law of Cosines
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Area of SAS & ASA Triangles
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14. Vectors(0)

Geometric Vectors
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Vectors in Component Form
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Direction of a Vector
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Unit Vectors and i & j Notation
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Dot Product
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Cross Product
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15. Polar Equations(0)

Polar Coordinate System
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Convert Points Between Polar and Rectangular Coordinates
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Convert Equations Between Polar and Rectangular Forms
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Graphing Other Common Polar Equations
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16. Parametric Equations(0)

Graphing Parametric Equations
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Eliminate the Parameter
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Writing Parametric Equations
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17. Graphing Complex Numbers(0)

Graphing Complex Numbers
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Polar Form of Complex Numbers
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Products and Quotients of Complex Numbers
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Powers of Complex Numbers (DeMoivre's Theorem)
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18. Systems of Equations and 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
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19. 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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20. Sequences, Series & Induction(0)

Sequences
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Arithmetic Sequences
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Geometric Sequences
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21. Combinatorics and Probability(0)

Factorials
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Combinatorics
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Probability
(0)

22. Limits & Continuity(0)

Introduction to Limits
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Finding Limits Algebraically
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Continuity
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23. Intro to Derivatives & Area Under the Curve(0)

Tangent Lines & Derivatives
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Limits at Infinity
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Limits of Sequences
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Area Under a Curve
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6. Exponential and Logarithmic Functions

The Number e

6. Exponential and Logarithmic Functions

The Number e: 동영상 및 연습문제

비디오 강의 실무 워크시트

20 문제점

문제 1객관식

Use a calculator to approximate the value of the following number to four decimal places.

e^{- 1.9}

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문제 2객관식

Which of the following exponential functions represent the graph given below?

Graph of an exponential function with points (-4, -4/e), (0, -4), and (4, -4e).

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문제 3객관식

Determine f(-1/2) for f(x) = 15^x. Approximate the answer to the nearest thousandth if required.

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문제 4객관식

Plot the given function on the rectangular coordinate system.
f(x) = 15^x

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문제 5객관식

Use the same rectangular coordinate system to show the graphs of functions f and g. For every asymptote, graph it and provide the equations.
f(x) = 24^x and g(x) = 24^-x

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문제 6객관식

The graph of f(x) = e^x is shown in the figure. To graph the given function, use the transformations of this graph. Give the asymptotes' equations. Find the domain and range of the function using the graphs.
g(x) = e^x -8

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문제 7객관식

Which of the following best describes the number e?

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문제 8객관식

What calculator function is typically used to evaluate e raised to a power?

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문제 9객관식

Evaluate e^-2 using a calculator and round to the nearest hundredth.

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문제 10객관식

Which of the following statements is true about the graph of f(x) = e^x compared to f(x) = 2^x and f(x) = 3^x?