Quadratic Form Video 1
Explaining the graph and properties for the parent function of quadratics
Explaining the graph and properties for the parent function of quadratics
Finding the piecewise-defined function for a given graph along with its domain and range
Discussing properties of linear functions
Discussing the types of linear graphs including horizontal and vertical lines and their properties
Explaining the general properties of even and odd root functions
Properties of exponential growth and decay functions
Properties of the exponential function with base e
Explaining the basic properties of logarithmic functions
Discussing parent functions of rational functions and their properties
Identifying quadratic functions and their properties
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
Putting a quadratic function in standard form and determining its properties
Putting a quadratic function in standard form and determining its properties
Putting a quadratic function in standard form and determining its properties
Finding the domain of a function with a natural logarithm and denominator
Solving equations with even roots and checking the solutions
Solving equations with odd radicals
Solving equations with multiple radicals
Explaining how to solve equations with power and exponential terms
Solving an equation that contains rational expressions
Solving an equation that contains rational expressions
Determining the domain and range of a relation and if the relation is a function
Determining the domain and range of a relation and if the relation is a function
Determining the domain and range of a relation and if the relation is a function
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
Finding the maximum revenue, maximum profit, and break even quantity for given revenue and cost functions
Solving a quadratic equation by completing the square
Finding the x-intercepts of quadratic functions
Finding the end behavior of a polynomial
Solving an equation with logarithmic functions
Solving an equation with logarithmic functions
Solving an equation with logarithmic functions
Review of limits and derivatives of inverse trigonometric functions
Review of limits and derivatives of inverse trigonometric functions
Properties and derivatives of inverse trigonometric functions
Properties and derivatives of inverse trigonometric functions
Review of limits and derivatives of inverse trigonometric functions
Review of limits and derivatives of inverse trigonometric functions
Properties and derivatives of inverse trigonometric functions
Properties and derivatives of inverse trigonometric functions
Finding the domain of a function with a root and a logarithm in the denominator
Finding the domain of a logarithmic function
Finding the domain of even and odd roots
Finding the domain of functions with even and odd roots
Finding the domain of several rational functions
Finding the domain of a rational function
Explaining how to find any holes and vertical asymptotes of a rational function
Finding the domain of a rational function using factoring
Explaining domain restrictions for denominators, even roots, and logarithms
Finding the domain of a function with a denominator, square root, and logarithm
Explaining the standard form for a quadratic equation and the possible number of solutions
Solving quadratic equations with the difference of two squares formula
Solving quadratic equations by factoring
Solving a quadratic equation by factoring
Solving a quadratic equation by factoring
Solving quadratic equations with the quadratic formula and discussing the number of possible solutions
Explaining when a quadratic equation does not have a real solution
Explaining how to solve radical equations and then solving example problems
Expanding logarithmic expressions using logarithm rules
Condensing a logarithmic expression into a single logarithm
Explaining how to solve logarithmic equations
Solving logarithmic equations with a single logarithm term
Solving logarithmic equations with multiple logarithm terms
Solving logarithmic equations with multiple logarithm terms on both sides
Finding horizontal asymptotes for rational functions
Determining the end behavior and horizontal asymptotes for rational functions
Finding horizontal asymptotes for rational functions
Explaining how to multiply and divide rational expressions
Performing algebraic operations with rational expressions and simplifying the answer
Solving equations that contain rational expressions
Sketching the level curves for a function of two variables
Graphing a piecewise function
Finding the domain of a piecewise function and evaluating it
Finding the domain of a function that is a fraction containing an exponential and root
Finding the domain of a function that is a fraction containing an exponential and root
Finding the domain of a function that is a fraction containing exponentials and a square root
Solving an equation with exponential functions
Identifying the parent function and transformations for a given graph
Finding the domain, intercepts, asymptotes, and holes of a rational function
Finding the domain, intercepts, asymptotes, and holes of a rational function
Finding the domain, intercepts, asymptotes, and holes of a rational function
Finding the difference quotient for a quadratic function
Determining where functions are continuous
Determining where functions are continuous
Factoring a quadratic
Factoring a polynomial
Factoring a quadratic
Dividing rational expressions and simplifying
Subtracting rational expressions and simplifying
Performing operations with rational expressions and simplifying
Performing operations with rational expressions and simplifying
Solving an equation using the quadratic formula
Solving a rational equation and checking the solutions
Solving a quadratic equation using the quadratic formula
Finding the domains of functions
Finding the domains of expressions
Finding the end behavior of a polynomial
Finding the end behavior of a polynomial
Finding properties of a polynomial including zeros and end behavior
Finding properties of a polynomial including zeros and end behavior
Finding properties of a polynomial including zeros and end behavior
Using properties of a polynomial to find its graph
Determining the properties of a rational function and graphing it
Determining the properties of a rational function and graphing it
Solving a nonlinear inequality
Solving a nonlinear inequality
Solving a nonlinear inequality
Restricting the domain of a function so it is one-to-one and has an inverse
Determining algebraically the inverse of a function
Determining algebraically the inverse of a function
Determining algebraically the inverse of a function
Determining properties of an exponential function
Determining properties of an exponential function
Determining properties of an exponential function
Identifying the graph of an exponential function
Determining properties of an exponential function
Determining the properties of a logarithmic function
Determining the graph of a logarithmic function
Determining the properties of a logarithmic function
Determining the graph of a logarithmic function
Solving an equation with an exponential function
Solving an equation with exponential functions by factoring
Solving an equation with logarithmic functions
Solving an equation with logarithmic functions
Solving a trigonometric equation by factoring
Solving a trigonometric equation
Using a graph to evaluate a function
Cartesian equations and parametric equations of curves
Continuity of Functions and the Intermediate Value Theorem
Differentials, linear approximations and quadratic approximations
Using derivatives to find properties of graphs
Using derivatives to find properties of graphs
Review of work and average value
Examples finding the area bounded by curves
Examples finding a volume using disks, washers, and by slicing
Using the disk, washer, and shell method to find a volume of revolution
Finding volume using using disks, washers and the shell method
Using integrals to solve work problems and find the average value
Explaining all four cases of partial fraction decomposition
Using trigonometric substitution to evaluate an indefinite integral
Using trigonometric substitution to evaluate an indefinite integral
Cartesian equations and parametric equations of curves
Properties of inverse trig functions and the derivative of arctangent
Continuity of Functions and the Intermediate Value Theorem
Differentials, linear approximations, and quadratic approximations
Properties of inverse trig functions and the derivative of arctangent
Using derivatives to find properties of graphs
Using derivatives to find properties of graphs
Review of work and average value
Examples finding the area bounded by curves
Examples finding a volume using disks, washers, and by slicing
Using the disk, washer, and shell method to find a volume of revolution
Finding volume using using disks, washers and the shell method
Using integrals to solve work problems and find the average value
Using integrals to solve work problems and find the average value
Determining the domain of a three-dimensional vector function
Finding and sketching the domain of a function of two variables
Finding and sketching the domain of a function of two variables
Evaluating a double integral over a given region by splitting it into two double integrals
Finding the domain of a function with a square root in the denominator
Explaining the main three forms for linear equations
Discussing how to write the equation of a line through two given points
Writing a linear equation of profit from a business word problem
Solving a linear equation algebraically and showing how this relates to the graph
Solving a linear equation algebraically
Solving a linear equation algebraically and showing how this relates to the graph
Explaining the format and possible solutions for a system of two linear equations
Solving a system of linear equations with two variables
Solving a system of two linear equations with two variables using the elimination method
Solving a system of two linear equations using a TI-84 calculator
Solving a system of two linear equations using a TI-84 calculator
Solving a system of two linear equations using a TI-84 calculator
How to rewrite radical terms as power terms
Simplifying power and exponential expressions using properties of exponents
Simplifying power and exponential expressions using properties of exponents
Simplifying power and exponential expressions using properties of exponents
Simplifying an expression with both power and exponential functions using properties of exponents
Properties of exponents applied to power and exponential expressions
Properties of multiplying and simplifying power and exponential expressions
Properties of exponents applied to power and exponential expressions
Solving equations with exponential terms
Solving equations with base e exponential terms
Explaining the terminology and rules of logarithms
Explaining how to do polynomial long division
Explaining basic algebraic operations for fractions
How to simplify rational expressions
Adding and subtracting rational expressions by finding a common denominator
Evaluating and then finding and sketching the domain of a function of two variables
Finding and sketching the domain of a function of two variables
Sketching the level curves for a function of two variables
Explaining that a graph is a collection of vertices and edges
Counting the vertices and edges from a graph
Identifying the adjacent vertices in a graph
Finding two different paths between vertices in a graph
Explaining Euler's Theorem on when a graph has an Euler path or Euler circuit
Finding the valence of each vertex in a graph
Explaining all four cases of partial fraction decomposition
Explaining the format and possible solutions for a system of two linear equations
Finding the range, IQR, standard deviation, and variance for a given set of data