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0. Review 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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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
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Understanding Polynomial Functions
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Graphing Polynomial Functions
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Dividing Polynomials
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Zeros of 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 & 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
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8. Conic Sections(0)

Introduction to Conic Sections
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Circles
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Ellipses: Standard Form
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Hyperbolas at the Origin
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9. Sequences, Series, & Induction(0)

Sequences
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10. Combinatorics & Probability(0)

Factorials
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3. Functions

Intro to Functions & Their Graphs

3. Functions

Intro to Functions & Their Graphs: 동영상 및 연습문제

비디오 강의 실무 워크시트

277 문제점

연습하고 싶은 문제 유형:

문제 181객관식

Graph the following function:

Piecewise function definition with three segments for f(x).

문제 182객관식

Graph the following function:

Piecewise function f(x) with two conditions displayed in a mathematical format.

문제 183객관식

For the following graph, write its equivalent piecewise function and write its domain and range.

Graph showing a piecewise function with horizontal lines at y=-3 and y=5.

문제 184객관식

For the following graph, write its equivalent piecewise function and write its domain and range.

Graph showing a piecewise function with points at (-3,12), (-2,8), and (0,-5).

문제 185객관식

Evaluate the value of the following function for x = 6.4

${"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfenced open=\"{\" close=\"\"><mtable columnalign=\"left\"><mtr><mtd><mn>8</mn><mo> </mo><mi>if</mi><mo> </mo><mn>0</mn><mo><</mo><mi>x</mi><mo>≤</mo><mn>4</mn><mo>,</mo></mtd></mtr><mtr><mtd><mn>15</mn><mo>-</mo><mn>3</mn><mfenced open=\"[\" close=\"]\"><mfenced open=\"[\" close=\"]\"><mrow><mn>4</mn><mo>-</mo><mn>8</mn><mi>x</mi></mrow></mfenced></mfenced><mo> </mo><mi>if</mi><mo> </mo><mi>x</mi><mo>></mo><mn>4</mn></mtd></mtr></mtable></mfenced></mstyle></math>","truncated":false}$

where [[.]] is the greatest integer function.

문제 186객관식

Evaluate the value of the following function for x = 9.4

${"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mfenced open=\"{\" close=\"\"><mtable columnalign=\"left\"><mtr><mtd><mn>7</mn><mo> </mo><mi>if</mi><mo> </mo><mn>0</mn><mo><</mo><mi>x</mi><mo>≤</mo><mn>6</mn><mo>,</mo></mtd></mtr><mtr><mtd><mn>12</mn><mo>-</mo><mn>2</mn><mfenced open=\"[\" close=\"]\"><mfenced open=\"[\" close=\"]\"><mrow><mn>8</mn><mo>-</mo><mi mathvariant=\"normal\">x</mi></mrow></mfenced></mfenced><mo> </mo><mi>if</mi><mo> </mo><mi>x</mi><mo>></mo><mn>6</mn></mtd></mtr></mtable></mfenced></mstyle></math>","truncated":false}$

where [[.]] is the greatest integer function.

문제 187객관식

Graph the greatest integer function given below. Write the domain and range of the function.

f(x ) = -[[5x]]

문제 188객관식

Graph the greatest integer function given below. Write the domain and range of the function.

f(x ) = [[4x - 1]]

문제 189객관식

The cost of x ounces (x > 0) of tea is expressed as f(x) = 45 - 12[[3 - x]] cents. Find the cost of 3.5-ounces of tea.

문제 190객관식

Identify if the given graph represents a function. Also, find the domain and range.

Graph showing a circle centered at (20, 10) with radius 10, questioning if it's a function.

문제 191객관식

Identify if the given graph represents a function. Also, find the domain and range.

Graph showing two parabolas; question on function identification and domain/range.

문제 192객관식

Identify if the given graph represents a function. Also, find the domain and range.

Graph showing a function with domain and range annotations for college algebra.

문제 193객관식

Identify if the given graph represents a function. Also, find the domain and range.

Graph showing a function with points (0,2) and (0,4) on the axes.

문제 194객관식

Graph the following equation. 6x + 12y = 48

문제 195객관식

Graph the following equation. 5y = 2x

문제 196객관식

Graph the following equation. f(x) = 10x

문제 197객관식

Graph the following equation. 2x - 5y = 30

문제 198객관식

Graph the following equation. x = - 17

문제 199객관식

Graph the following equation. f(x) = - 17

문제 200객관식

Graph the following equation. f(x) = |2x| + 5

문제 201객관식

Graph the following equation. f(x) = 5∛(x - 8) + 5

문제 202객관식

Graph the following equation.

Piecewise function definition with absolute value and linear equations.

문제 203객관식

Identify if the graph defined by the following equation is symmetric with respect to the origin, x-axis, y-axis, or none:

3y⁵ = x - 7

문제 204객관식

Identify if the graph defined by the following equation is symmetric with respect to the origin, x-axis, y-axis, or none:

|3x| = |17y|

문제 205객관식

Draw the graph for the given functions f and g in the same rectangular system and state the relation between both graphs.

f(x) = (√3)(x), g(x) = (√3)(x) +5

문제 206객관식

Draw the graphs for the given functions f and g in the same rectangular system and state the relation between both graphs.

f(x) = -5x, g(x) = -5x -6

문제 207객관식

Find the value of f(3) using the graph shown below.

Graph of a function showing f(3) to find its value in college algebra.

rank

문제 208객관식

Find the x-intercept and the y-intercept of the function using the graph given below.

Graph showing x-intercept at (10,0) and y-intercept at (0,-10) for function analysis.

문제 209객관식

Find the x-intercept and the y-intercept of the function using the graph given below.

Graph showing x-intercept at (5,0) and y-intercept at (0,7) for function analysis.

문제 210객관식

Find the domain and the range of the function using the graph given below.

Graph of a function showing its domain and range for college algebra topic on functions.

Lines 연습문제 Common Functions 연습문제

Intro to Functions & Their Graphs: 동영상 및 연습문제

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