Solving Radical Equations Video 4
Solving equations with multiple radicals
Problem: Solve the following equations.
Solving equations with multiple radicals
Explaining how to solve radical equations and then solving example problems
Solving equations with even roots and checking the solutions
Explaining how to solve equations with power and exponential terms
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
Properties and derivatives of inverse trigonometric functions
Properties 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 function with a denominator, square root, and logarithm
Finding the domain of even and odd roots
Finding the domain of functions with even and odd roots
Explaining domain restrictions for denominators, even roots, and logarithms
Discussing properties of linear functions
Discussing the types of linear graphs including horizontal and vertical lines and their properties
Explaining the graph and properties for the parent function of quadratics
Discussing properties of quadratic functions including the vertex, domain, range, and end behavior
How to rewrite radical terms as power terms
Solving equations with exponential terms
Solving equations with base e exponential terms
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
Explaining the basic properties of logarithmic functions
Solving equations that contain rational expressions
Solving an equation that contains rational expressions
Solving an equation that contains rational expressions
Discussing parent functions of rational functions and their properties
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
Finding the piecewise-defined function for a given graph along with its domain and range
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
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
Solving an equation with exponential functions
Solving an equation with exponential functions
Solving a rational equation and checking the solutions
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 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
Continuity of Functions and the Intermediate Value Theorem
Review of limits and derivatives of inverse trigonometric functions
Review of limits and derivatives of inverse trigonometric functions
Continuity of Functions and the Intermediate Value Theorem
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
Finding the domain of a function with a natural logarithm and denominator
Finding the domain of a logarithmic function
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
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
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
Expanding logarithmic expressions using logarithm rules
Condensing a logarithmic expression into a single logarithm
Explaining how to multiply and divide rational expressions
Performing algebraic operations with rational expressions and simplifying the answer
Sketching the level curves for a function of two variables
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
Identifying quadratic functions and their properties
Finding the domain of a piecewise function and evaluating it
Finding the domain of a function that is a fraction containing exponentials and a square root
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
Determining where functions are continuous
Determining where functions are continuous
Explaining the Intermediate Value Theorem and the Bisection Method
Using the Intermediate Value Theorem and Bisection Method to approximate the solution of an equation
Writing a non-linear function to represent the line graphed on a semilog plot
Using the second derivative to find the maximum rate of change in a word problem
Simplifying a fraction using properties of exponents
Simplifying a fraction containing fractional exponents
Simplifying a fraction with negative exponents
Solving an equation using the quadratic formula
Solving a quadratic equation by completing the square
Solving a polynomial equation using factoring by grouping
Solving a quadratic equation using the quadratic formula
Determining if an equation represents a function
Finding the domains of functions
Finding the domains of expressions
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
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
Solving an equation with 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 an exponential function
Modeling a population size with an exponential function
Solving a trigonometric equation
Solving a trigonometric equation
Solving a trigonometric equation by factoring
Solving a trigonometric equation
Solving a trigonometric equation
Solving a trigonometric equation
Solving a trigonometric equation
Using a graph to evaluate a function
Using a double angle formula to solve a trigonometric equation
Using a double angle formula to solve a trigonometric equation
Using a double angle formula to solve a trigonometric equation
Using double angle formulas to evaluate trigonometric functions
Cartesian equations and parametric equations of curves
Review of limits, continuity, and the Intermediate Value Theorem
Review of the limit definition of a derivative and calculating the derivative
Review of the limit definition of a derivative and calculating the derivative
Review of the limit definition of a derivative and calculating the derivative
Review of the limit definition of a derivative and calculating the derivative
Using derivatives to find properties of graphs
Using derivatives to find properties of graphs
Proving associative and scalar multiplication properties for vectors
Cartesian equations and parametric equations of curves
Review of limits, continuity, and the Intermediate Value Theorem
Review of the limit definition of a derivative and calculating the derivative
Review of the limit definition of a derivative and calculating the derivative
Properties of inverse trig functions and the derivative of arctangent
Review of the limit definition of a derivative and calculating the derivative
Review of the limit definition of a derivative and calculating the derivative
Properties of inverse trig functions and the derivative of arctangent
Using derivatives to find properties of graphs
Using derivatives to find properties of graphs
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
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
Explaining the main three forms for linear equations
Explaining the terminology and rules of logarithms
Finding horizontal asymptotes for rational functions
Explaining how to do polynomial long division
Finding horizontal asymptotes for rational functions
Determining the end behavior and horizontal asymptotes for rational functions
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 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