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Functions - Properties and Their Graphs — Topic Review
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- Study Guide (fill this in as you watch the videos!)
- Quick Overview of Functions (p. 3-5) (13:48)
- The Difference Quotient (p. 6) (6:23)
- Finding The Domain of a Function (p. 7) (6:03)
- Adding Subtracting Multiplying and Dividing Functions (p. 8-9) (13:10)
- Graphs (p. 10-12) (9:54)
- Graphing with a Calculator (p. 13) (6:21)
- Even vs Odd vs Neither (p. 14-15) (8:23)
- Increasing Decreasing Constant (p. 16) (3:38)
- Local Maxima and Local Minima (p. 17-18) (9:48)
- Average Rate of Change and Secant Lines (p. 19) (2:54)
- Thinking of Old Things in New Ways (p. 20-21) (9:17)
- Direct Inverse and Combined/Joint Variation (p. 22-24) (10:31)
Functions - Properties & Their Graphs — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Quick Overview of Functions Practice Exam Solutions (5:16)
- The Difference Quotient Practice Exam Solutions (24:38)
- Finding the Domain of a Function Practice Exam Solutions (14:09)
- Adding, Subtracting, Multiplying, and Dividing Functions Practice Exam Solutions (16:12)
- Graphs Practice Exam Solutions (8:27)
- Even vs Odd vs Neither Practice Exam Solutions (5:35)
- Average Rate of Change and Secant Lines Practice Exam Solutions (9:10)
Graphing and Transforming Functions — Topic Review (⏱️ <41 min)
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Graphing and Transforming Functions — Practice Exam Questions
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Linear Functions — Topic Review (⏱️ <12 min)
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Linear Functions — Practice Exam Questions
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Quadratic Functions — Topic Review (⏱️ <47 min)
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- Study Guide (fill this in as you watch the videos!)
- Quick Overview of Quadratic Functions (p. 3-5) (11:52)
- Properties of Quadratics (p. 6-7) (5:43)
- Graphing a Quadratic Using Its Vertex, Axis of Symmetry, and Intercepts (p. 8) (9:36)
- Graphing a Quadratic Using Transformations (p. 9-10) (6:57)
- Maximum/Minimum Value of a Quadratic (p. 11) (6:06)
- Complex Numbers and Quadratics (p. 12-13) (6:52)
Quadratic Functions — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Overview of Quadratic Functions Practice Exam Solutions (10:36)
- Graphing Quadratics Practice Exam Solutions (23:15)
- Finding Maxima and Minima of Quadratic Functions Practice Exam Solutions (10:16)
- Complex Numbers and Quadratics Practice Exam Solutions (15:25)
Absolute Value Functions — Topic Review (⏱️ <12 min)
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Absolute Value Functions — Practice Exam Questions
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Polynomial Functions — Topic Review (⏱️ <96 min)
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- Study Guide (fill this in as you watch the videos!)
- Quick Overview of Polynomial Functions (p. 3-4) (5:08)
- Graphing Using Transformations (p. 5-6) (10:11)
- Real Zeros and Multiplicities (p. 7-8) (7:17)
- Turning Points (p. 9) (4:44)
- End Behavior (p. 10) (5:19)
- Graphing Using Zeros and Multiplicities (p. 11-12) (19:01)
- Finding Real Zeros of Polynomials (p. 13-14) (7:40)
- Descartes’ Rule of Signs and Rational Zeros Theorem (p. 15-17) (12:32)
- Putting It All Together to Find Zeros (p. 18) (9:32)
- Fundamental Theorem of Algebra (p. 19-21) (14:17)
Polynomial Functions — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Graphing Using Transformations Practice Exam Solutions (11:18)
- Graphing Using Zeros and Multiplicities Practice Exam Solutions (23:12)
- Forming Polynomial Functions Practice Exam Solutions (4:53)
- Remainder Theorem - Practice Exam Questions Video Solutions (3:35)
- Descartes' Rule of Signs Practice Exam Solutions (9:48)
- Rational Zeros Theorem Practice Exam Solutions (14:18)
- Fundamental Theorem of Algebra Practice Exam Solutions (6:46)
Rational Functions — Topic Review (⏱️ <75 min)
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- Study Guide (fill this in as you watch the videos!)
- Quick Overview of Rational Functions and Domain (p. 3) (4:38)
- Vertical Asymptotes of Rational Functions (p. 4) (3:09)
- Horizontal and Oblique Asymptotes of Rational Functions (p. 5-8) (19:50)
- Holes of Rational Functions (p. 9) (2:27)
- Graphing Rational Functions (p. 10-12) (23:17)
- Applications with Rational Functions (p. 13) (5:24)
- Inequalities with Rational Functions and Polynomials (p. 14-15) (14:49)
Rational Functions — Practice Exam Questions
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Exponential Functions — Topic Review (⏱️ <23 min)
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Exponential Functions — Practice Exam Questions
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Log Functions — Topic Review (⏱️ <75 min)
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- Study Guide (fill this in as you watch the videos!)
- Log Functions (p. 3-4) (13:07)
- Graphing Log Functions (p. 5-7) (13:44)
- Log Rules (p. 8-11) (15:49)
- Solving Equations with Logs (p. 12-14) (16:22)
- Solving Equations with Exponentials (p. 15-16) (11:52)
- Summary of Log and Exponent Rules (p. 17) (3:53)
Log Functions — Practice Exam Questions
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Applications of Logs and Exponents — Topic Review (⏱️ <57 min)
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Applications of Logs and Exponents — Practice Exam Questions
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Trig Functions — Topic Review (⏱️ <84 min)
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- Study Guide (fill this in as you watch the videos!)
- All About Angles (p. 3-6) (20:03)
- Arc Length (p. 7) (1:58)
- Area of a Sector (p. 8) (2:54)
- Linear Speed and Angular Speed (p. 9) (5:57)
- Right Triangle Trig (p. 10-13) (22:02)
- Some Special Right Triangles (p. 14-16) (12:43)
- Summary of All Important Angles (p. 17) (10:12)
- Applications to Measuring Heights and Distances (p. 18) (7:14)
Trig Functions — Practice Exam Questions
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The Unit Circle — Topic Review (⏱️ <37 min)
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The Unit Circle — Practice Exam Questions
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Graphing Trig Functions — Topic Review (⏱️ <72 min)
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- Study Guide (fill this in as you watch the videos!)
- Quick Review of Transforming a Function (p. 3-5) (9:35)
- Graphs of Sine and Cosine (p. 6-7) (9:28)
- Procedure for Graphing Sine and Cosine (p. 8-10) (23:29)
- Graphs of Tangent and Cotangent (p. 11-12) (10:51)
- Graphs of Secant and Cosecant (p. 13-15) (13:56)
- Summary of Sh*t to Memorize (p. 16-17) (4:33)
Graphing Trig Functions — Practice Exam Questions
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Inverse Trig — Topic Review (⏱️ <94 min)
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- Study Guide (fill this in as you watch the videos!)
- Inverse Sine - Overview (p. 3-5) (9:39)
- Inverse Cosine - Overview (p. 6-8) (8:22)
- How to Evaluate Compositions with Inverse Sine (p. 9-10) (8:47)
- How to Evaluate Compositions with Inverse Cosine (p. 11-12) (7:21)
- Inverse Tangent - Overview (p. 13-14) (8:18)
- How to Evaluate Compositions with Inverse Tangent (p. 15-16) (9:50)
- Finding Inverses with Equations Involving Trig Functions (p. 17-18) (5:54)
- Evaluating Mixed Trig Function Expressions (p. 19-23) (12:55)
- Inverse Secant, Cosecant, and Cotangent (p. 24-25) (6:53)
- The Super Fast Way to Evaluate Inverse Trig Expressions (p. 26-28) (12:22)
- Summary of Shit to Memorize (p. 29) (3:48)
Inverse Trig — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Evaluating Basic Inverse Sine, Cosine, and Tangent Expressions Practice Exam Solutions (8:17)
- Evaluating Composite Inverse Sine, Cosine, and Tangent Expressions Practice Exam Solutions (11:10)
- Solving Equations with Inverse Trig Practice Exam Solutions (4:06)
- Evaluating Inverse Secant, Cosecant, and Cotangent Expressions Practice Exam Solutions (4:16)
- Evaluating Mixed Trig Expressions Practice Exam Solutions (12:51)
Trig Identities — Topic Review (⏱️ <72 min)
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- Study Guide (fill this in as you watch the videos!)
- Quick Overview of Trig Identities (p. 3-6) (12:07)
- Double Angle Formulas (p. 7-8) (13:34)
- Half-Angle Formulas (p. 9-10) (15:39)
- Sum and Difference Formulas (p. 11-13) (16:23)
- Product-to-Sum Formulas (p. 14) (4:45)
- Sum-to-Product Formulas (p. 15-16) (6:34)
- Summary of Sh*t to Memorize (p. 17) (3:05)
Trig Identities — Practice Exam Questions
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- Practice Exam Questions
- Practice Exam Questions Answer Key
- Double-Angle Formulas Practice Exam Solutions (4:10)
- Half-Angle Formulas Practice Exam Solutions (10:56)
- Sum and Difference Formulas Practice Exam Solutions (16:33)
- Product-to-Sum Formulas Practice Exam Solutions (6:59)
- Sum-to-Product Formulas Practice Exam Solutions (5:08)
- Establishing Identities Practice Exam Solutions (21:57)
Trig Equations — Topic Review (⏱️ <30 min)
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Trig Equations — Practice Exam Questions
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Trig Applications — Topic Review (⏱️ <58 min)
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Trig Applications — Practice Exam Questions
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Sequences and Series — Topic Review
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Sequences and Series — Practice Exam Questions
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Preview of Calculus — Topic Review (⏱️ <43 min)
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- Study Guide (fill this in as you watch the videos!)
- Limits from Tables and Graphs (p. 3-4) (6:34)
- Limits Algebraically (p. 5-8) (6:18)
- Continuity (p. 9-10) (8:55)
- Tangent Lines and the Derivative (p. 11-12) (8:39)
- Area and the Integral (p. 13-15) (8:51)
- Using a Graphing Calculator to Evaluate an Integral (p. 16) (3:44)
Preview of Calculus — Practice Exam Questions
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Polar Coordinates — Topic Review (⏱️ <80 min)
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- Study Guide (fill this in as you watch the videos!)
- Polar Coordinates Overview (p. 3-4) (8:09)
- Converting Points from Polar to Rectangular Coordinates (p. 5-6) (8:37)
- Converting Points from Rectangular to Polar Coordinates (p. 7) (8:05)
- Transforming Equations from Polar to Rectangular Form (p. 8) (3:56)
- Transforming Equations from Rectangular Form to Polar Form (p. 9) (3:26)
- Polar Equations and Graphs Overview (p. 10-13) (9:53)
- Graphing Circles in Polar Form (p. 14-15) (6:38)
- Graphing Cardioids and Limaçons (p. 16-19) (16:27)
- Graphing Roses (p. 20-22) (14:47)
Polar Coordinates — Practice Exam Questions
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Vectors — Topic Review (⏱️ <38 min)
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Vectors — Practice Exam Questions
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Conics — Topic Review (⏱️ <48 min)
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Conics — Practice Exam Questions
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[OPTIONAL] Sh*t You Forgot from Algebra 1
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- Study Guide (fill this in as you watch the videos!)
- Algebraic Expressions (p. 3) (5:43)
- Exponent Rules (p. 4-5) (8:08)
- Square Roots (p. 6) (2:45)
- Monomials and Polynomials (p. 7-8) (5:57)
- Special Products and Factoring (p. 9-12) (19:55)
- Lines (Quick Overview) (p. 13) (4:04)
- Finding Equations and Graphing Lines (p. 14-17) (13:45)
- General Form of a Line (p. 18) (3:06)
- Vertical and Horizontal Lines (p. 19) (2:19)
- Parallel and Perpendicular Lines (p. 20) (5:09)
- Plotting Points to Graph an Equation (p. 21-22) (5:40)
- Finding Intercepts from a Graph (p. 23) (1:33)
- Finding Intercepts from an Equation (p. 24) (4:13)
- Solving Equations with Absolute Value (p. 25) (5:33)
- Number Lines and Inequalities (p. 26) (5:05)
- Solving Inequalities and Writing Intervals (p. 27-29) (12:44)
- Solving Inequalities with Absolute Value (p. 30-31) (14:22)
- Completing the Square (p. 32-35) (9:58)
- Solving Quadratics by Factoring (p. 36) (5:35)
- Solving Quadratics by Using Square Roots (p. 37) (2:39)
- Solving Quadratics by Completing the Square (p. 38) (8:43)
- Solving Quadratics by Using the Quadratic Formula (p. 39) (5:38)
- Sets (p. 40-41) (8:47)
[OPTIONAL] Sh*t You Forgot from Geometry
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- Study Guide (fill this in as you watch the videos!)
- The Pythagorean Theorem (p. 3) (5:10)
- Common Geometry Formulas (p. 4-5) (3:19)
- Congruent Triangles (p. 6-7) (4:08)
- Similar Triangles (p. 8-10) (8:34)
- Distance Formula (p. 11) (7:59)
- Midpoint Formula (p. 12) (5:26)
- Graphing Circles (p. 13-14) (7:32)
- General Form of a Circle (p. 15-16) (11:09)
[OPTIONAL] Sh*t You Forgot from Algebra 2
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- Study Guide (fill this in as you watch the videos!)
- Parent Graphs You Should Memorize (p. 3) (2:09)
- Graphing Common Equations (p. 4) (2:36)
- Symmetry of Graphs (p. 5) (8:22)
- Solving Equations by Factoring (p. 6-7) (11:20)
- Long Division with Numbers and Polynomials (p. 8-10) (14:18)
- Synthetic Division (p. 11-13) (7:39)
- Multiplying and Dividing Fractions (p. 14-16) (10:16)
- Adding and Subtracting Fractions (p. 17-18) (16:24)
- Simplifying Complex Fractions (p. 19-20) (6:29)
- Solving Systems of Linear Equations (p. 21-22) (10:04)
- General Tips for Solving Word Problems (p. 23) (5:25)
- Simple Interest Word Problems (p. 24) (3:47)
- Some Perfect Roots You Should Memorize (p. 25) (5:00)
- Radical Rules (p. 26) (4:28)
- Combining Like Terms with Radicals (p. 27) (3:26)
- Rationalizing a Denominator (p. 28) (5:43)
- Fractional (Rational) Exponents (p. 29-31) (18:53)
- Operations with Complex Numbers (p. 32-34) (11:41)
- Patterns in the Powers of i (p. 35) (4:31)
- Solving Quadratic Equations that Have Complex Solutions (p. 36) (8:19)
Your Math Tutor: Marty
Marty attended the University of Florida, where he earned a Bachelor of Science in statistics, a Bachelor of Arts in mathematics, and a Master of Science in electrical engineering.
While working as a teaching assistant for math and physics professors, he also did research on control systems. Later, he also taught high school physics and AP Computer Science.
Marty prides himself on making difficult concepts easier to understand. He’s been tutoring since he was a teenager, and he believes that anybody is capable of learning tough subjects with the right help.
Aside from working on CramBetter videos, Marty loves to learn languages, travel, and produce music. He’s fluent in Spanish and has studied French and Hebrew, too. Reach out to him if you wanna share something interesting about a language you speak!
Hit him up at [email protected].
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