• Composition of Functions - Problem 3

Math›Algebra 2›Functions
Composition of functions, or fog(x) and gof(x) including examples with variable and integer inputs
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• Angle Inclination of a Line - Concept

How to find the angle of inclination of a line.
• Area of Triangles - Problem 2

Math›Geometry›Area
How to find an unknown variable, x, when the area is given and the base and height of a triangle is given in terms of x.
• Reflections - Problem 3

Math›Geometry›Transformations
How to find the minimal path between two objects.
• Rotations - Problem 1

Math›Geometry›Transformations
How to describe the transformation (x, y) -> (-x, -y).
• Dilations of Quadratic Graphs - Problem 4

Describing the change in an equation for f(x) to g(x)
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• Introduction to Functions - Problem 5

Math›Algebra 2›Functions
Operations on functions, including adding, subtracting, multiplying and dividing f(x) and g(x).
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• Angle Inclination of a Line - Concept

How to find the angle of inclination of a line.
• Continuity - Problem 2

Math›Calculus›Limits and Continuity
How to show that a function is discontinuous at a point x=a because the limit as x approaches a does not exist.
• Dilations of Quadratic Graphs - Problem 4

Describing the change in an equation for f(x) to g(x)
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• Continuity - Problem 3

Math›Calculus›Limits and Continuity
How to show that a function is discontinuous at a point x=a because its limit and its value at x=a are different. Explanation of continuity.
• Limits of Rational Functions - Concept

Math›Precalculus›Polynomial and Rational Functions
How to evaluate the limit of k/x^n as x goes to infinity (or negative infinity).
• Concavity and Inflection Points - Problem 2

Math›Calculus›Applications of the Derivative
How to show that a function is discontinuous at a point x=a because its limit and its value at x=a are different.
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• Reflections - Problem 1

Math›Geometry›Transformations
How to reflect a figure over the y-axis.
• Introduction to Rational Functions - Problem 1

Math›Precalculus›Polynomial and Rational Functions
How to express any rational function f(x) = (ax + b)/(cx + d) as a transformation of y = 1/x.
• Using the Inverse Trigonometric Functions - Problem 1

How to prove an identity that involves sin^-1(x) and cos^-1(x).
• Average Value of a Function - Problem 2

Math›Calculus›The Definite Integral
How to use definite integrals to find the average value of a function, f= 12x/(x^2 + 16), over an interval [a,b].
• Finding an Inverse Graphically - Concept

Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to graph the inverse of a function using points.
• Definite Integrals and Area - Problem 2

Math›Calculus›The Definite Integral
How to find the area bounded between a curve and an x-axis when the curve goes below the x-axis.
• Solving a Logarithmic Equation - Problem 5

Math›Precalculus›Exponential and Logarithmic Functions
Using the property that if log x = log y, then x = y , and checking for extraneous solutions.