A Plethora of Practice Problems

Noel_UC, Aug 7, 2020

This book contains various parameterized problems so users can generate a unique problem until they feel comfortable with the techniques used. Each problem requires users to enter an answer that can then be checked. Additionally, if they are stuck they can get an example answer.

Table of Contents

  1. Limits
    1. Rational Functions with Specific Features - Practice
    2. Limits of Rational Functions at Infinity Practice
    3. Limit Practice
  2. Taylor Series
    1. Taylor Series Practice - Interval of Convergence
  3. Derivatives
    1. Derivative Rules Combined - Practice
    2. Tangent and Normal Line Practice
  4. Linear Equations
    1. Writing Equations of Lines
    2. Graphing Lines
  5. Partial Fractions
    1. Partial Fraction Decomposition - Linear Factors
    2. Partial Fraction Decomposition - Challenging Linear Factors
    3. Partial Fraction Decomposition - Repeated Linear Factors
    4. Partial Fraction Decomposition - Quadratic & Linear Factors
  6. Transformations
    1. Function Transformations
    2. Function Transformations with Horizontal Stretch
  7. Absolute Value Equations & Inequalities
    1. Absolute Value Equations and Inequalities
    2. Absolute Value Equations and Inequalities - Geometric
  8. Systems of Equations
    1. Systems with Variables in Denominator
    2. Basic Systems of Equations
    3. Systems of Equations Practice
  9. Factoring
    1. Factoring Practice
  10. Geometry
    1. Geometry Transformations - Draw the Answer

1.

Limits

  • 1. Rational Functions with Specific Features - Practice
  • 2. Limits of Rational Functions at Infinity Practice
  • 3. Limit Practice

1.1.

Rational Functions with Specific Features - Practice

Use the input box to create a rational function that matches the given information. [br]Each rational function will have [br][list][*]two "holes" with given x-coordinates[/*][*]two roots through points C and D[/*][*]two vertical asymptotes[/*][*]0 or 1 horizontal asymptotes (Can it have more than 1?)[/*][/list]You can use the Show Example Function to see a rational function that exhibits the given behavior. (Is the only function?)
– Noel_UC

1.2.

–

1.3.

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2.

Taylor Series

  • 1. Taylor Series Practice - Interval of Convergence

2.1.

Taylor Series Practice - Interval of Convergence

– Noel_UC

3.

Derivatives

  • 1. Derivative Rules Combined - Practice
  • 2. Tangent and Normal Line Practice

3.1.

Derivative Rules Combined - Practice

– Noel_UC

3.2.

–

4.

Linear Equations

  • 1. Writing Equations of Lines
  • 2. Graphing Lines

4.1.

Writing Equations of Lines

– Jason Mead

4.2.

–

5.

Partial Fractions

  • 1. Partial Fraction Decomposition - Linear Factors
  • 2. Partial Fraction Decomposition - Challenging Linear Factors
  • 3. Partial Fraction Decomposition - Repeated Linear Factors
  • 4. Partial Fraction Decomposition - Quadratic & Linear Factors

5.1.

Partial Fraction Decomposition - Linear Factors

– Jason Mead

5.2.

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5.3.

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5.4.

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6.

Transformations

  • 1. Function Transformations
  • 2. Function Transformations with Horizontal Stretch

6.1.

Function Transformations

– Jason Mead

6.2.

–

7.

Absolute Value Equations & Inequalities

  • 1. Absolute Value Equations and Inequalities
  • 2. Absolute Value Equations and Inequalities - Geometric

7.1.

Absolute Value Equations and Inequalities

– Jason Mead

7.2.

–

8.

Systems of Equations

  • 1. Systems with Variables in Denominator
  • 2. Basic Systems of Equations
  • 3. Systems of Equations Practice

8.1.

Systems with Variables in Denominator

– Jason Mead

8.2.

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8.3.

–

9.

Factoring

  • 1. Factoring Practice

9.1.

Factoring Practice

– Jason Mead

10.

Geometry

  • 1. Geometry Transformations - Draw the Answer

10.1.

Geometry Transformations - Draw the Answer

– Jason Mead

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