• Intercepts and Asymptotes of Tangent Functions - Concept

Math›Precalculus›Trigonometric Functions
How to find the x-intercepts and vertical asymptotes of the graph of y = tan(q).
• Asymptotes of Secant, Cosecant, and Cotangent - Problem 2

Math›Trigonometry›Trigonometric Functions
How to find the x-intercepts and vertical asymptotes of y = (-1/4) csc(pix/6 + pi/3).
• The Reciprocal Transformation - Problem 1

Math›Precalculus›Polynomial and Rational Functions
How to graph the reciprocal of a quadratic function when its graph has no x-intercepts.
• Asymptotes of Secant, Cosecant, and Cotangent - Problem 2

Math›Precalculus›Trigonometric Functions
How to find the x-intercepts and vertical asymptotes of y = (-1/4) csc(pix/6 + pi/3).
• Intercepts and Asymptotes of Tangent Functions - Problem 3

Math›Precalculus›Trigonometric Functions
How to find the zeros and vertical asymptotes of y = 6 tan(x/2 + pi/2).
• Graphing Quadratic Equations - Problem 1

How to graph a quadratic equation by hand when there are whole number x intercepts.
• Vocabulary of Quadratic Polynomials - Concept

How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.
• Graphing Quadratic Equations - Problem 2

How to graph a quadratic equation by hand when there are fractional x intercepts.
• Intercepts and Asymptotes of Tangent Functions - Problem 3

Math›Trigonometry›Trigonometric Functions
How to find the zeros and vertical asymptotes of y = 6 tan(x/2 + pi/2).
• Graphs of the Sine and Cosine Functions - Problem 3

Math›Precalculus›Trigonometric Functions
How to find the domain, range, period, amplitude, and x-intercepts of the sine and cosine graphs.
• Finding an Inverse Algebraically - Problem 7

Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
Inverse functions of even powers are done by switching x and y, taking the opposite root, and then rationalizing the denominator.
• Graphing Polynomial Functions with Repeated Factors - Concept

Math›Precalculus›Polynomial and Rational Functions
How we identify the behavior of a polynomial graph near an x-intercept.
• Find an Equation of the Polynomial Function - Problem 3

Math›Precalculus›Polynomial and Rational Functions
How we identify the equation of a quintic function when we are given the x-intercepts and one other point on the graph.
• Solving Exponential Equations with the Different Bases - Problem 8

Math›Precalculus›Exponential and Logarithmic Functions
How to solve logarithmic equations with two different bases and x in two separate exponents.
• Solving Exponential Equations with the Different Bases - Problem 8

Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to solve logarithmic equations with two different bases and x in two separate exponents.
• Derivatives of Power Functions - Problem 2

Math›Calculus›The Derivative
How to compute the derivative of f(x) = x^(-2) and how to find an equation of the line tangent to its graph at x= -2.
• Derivatives of Power Functions - Problem 3

Math›Calculus›The Derivative
How to compute the derivative of f(x) = x^(1/2) and how to find an equation of the line tangent to its graph at x= 9.
• Symmetry of Graphs: Odd and Even Functions - Problem 1

Math›Precalculus›Introduction to Functions
How to prove whether a function, f(x) = x - 0.04*x^3, is even or odd.
• The First Derivative Test for Relative Maximum and Minimum - Problem 1

Math›Calculus›Applications of the Derivative
How to use the first derivative test to identify what critical points are relative maxima and minima for the function, f(x) = x^3 - 6x^2 - 63x + 42.
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• Continuity - Concept

Math›Calculus›Limits and Continuity
How to determine whether a function f(x) is continuous at a particular point x=a.