x in two places 113 videos

Limits at a Glance
Precalculus Polynomial and Rational Functions
How to quickly find the limit of a rational function as x goes to infinity.
rational functions polynomials degree limits infinity 
Continuous Functions
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous everywhere on its domain.
limits definition of continuous function domain of a function power functions exponential functions logarithmic functions 
Concavity and Inflection Points
Calculus Applications of the Derivative
How to show that a function is discontinuous at a point x=a because it is not defined there.

Cramer's Rule
Precalculus Systems of Linear Equations and Matrices
How to solve a system of two linear equations with two unknowns using Cramer's rule.
systems of linear equations Cramer's rule determinant coefficient matrix 
Area With the Cross Product
Precalculus Systems of Linear Equations and Matrices
How to show that the magnitude of the cross product of two vectors gives the area of the parallelogram determined by those two vectors.
cross product magnitude of vectors dot product angle between vectors area parallelogram 
Graphing Quadratic Equations
Algebra Quadratic Equations and Functions
How to graph a quadratic equation by hand.
x intercepts y intercepts vertex axis of symmetry discriminant substitute 
Polynomial Function
Algebra 2 Polynomials
How to evaluate a polynomial in function notation.
function notation f(x) polynomial constant linear quadratic cubic 
Sex Chromosomes
Biology Cell Division and Reproduction
The description of sex chromosomes.
sex chromosomes X Y XX XY gender autosomes karyotype 
Scatterplots and Correlations
Algebra Introduction to Statistics
How to identify positive correlations, negative correlations, or no correlation between two variables.
scatterplot correlation trend line line of best fit 
Mixture Problems
Algebra Word Problems Using Systems of Equations
How to solve word problems when mixing two quantities with different prices.
amount price mixture word problem 
Age Word Problems
Algebra Word Problems Using Systems of Equations
How to solve word problems about the ages of two people.
age system of equations substitution 
Parallel Planes and Lines
Geometry Geometry Building Blocks
How to identify parallel lines, a line parallel to a plane, and two parallel planes.
parallel lines skew plane 
SSS and SAS
Geometry Triangles
How to use the SAS and SSS shortcuts to determine the congruence of two triangles.
triangle congruence side side side side angle side 
ASA and AAS
Geometry Triangles
How to use the ASA and AAS shortcuts to determine the congruence of two triangles.
triangle congruence angle side angle angle angle side 
Square Root Operations
Geometry Pythagorean Theorem
How to simplify square roots using two different methods.
Pythagorean theorem simplifying square roots adding square roots multiplying square roots rationalizing roots 
Distance Formula
Geometry Pythagorean Theorem
How to derive the equation for the distance between two points using the Pythagorean Theorem.
distance coordinate plane ordered pair segment 
Proportional Segments Between Parallel Lines
Geometry Similarity
How to prove two triangles are similar using a line parallel to a base.
parallel lines triangles similar triangles proportion 
Using Sine to Calculate the Area of a Triangle
Geometry Basic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine 
Applied Linear Equations: Distance Problem
Algebra 2 Linear Equations
How to find the speed of transit when the time of two different legs is known.
distance rate time word problem