exponential functions 168 videos

Nucleic Acids
Chemistry Biochemistry
The description and mechanistic functions of nucleic acids.
DNA RNA nucleotide ATP double helix 
Finding an Inverse Algebraically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to find the inverse of a function algebraically
finding an inverse one to one switch x and y 
The Reciprocal Transformation
Precalculus Polynomial and Rational Functions
How to graph the reciprocal of a linear function.
the reciprocal transformation x intercepts asymptotes 
Solving a Logarithmic Equation with Multiple Logs
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to solve a logarithmic equation by condensing one, or both, sides.
log equation logarithmic equation logarithmic form exponential form condense 
Solving a Logarithmic Equation with Multiple Logs
Precalculus Exponential and Logarithmic Functions
How to solve a logarithmic equation by condensing one, or both, sides.
log equation logarithmic equation logarithmic form exponential form condense 
Graphing the Transformation y = f(x  h)
Precalculus Introduction to Functions
How to graph y = f(x ? h) when f(x) = sqrt(x), and what kind of transformation to expect.
functions transformations horizontal shift end point 
Limits: A Numerical Approach
Calculus Limits and Continuity
How to estimate a limit using a table of values.
limits functions table of values numerical approach undefined 
Number of Handshakes at a Party
Geometry Reasoning, Diagonals, Angles and Parallel Lines
How to determine the number of handshakes possible in a group of a certain number of people.
mathematical modeling non linear functions diagonals 
Finding Maximum and Minimum Values
Precalculus Polynomial and Rational Functions
How we define optimization problems, and what it means to solve them.
optimization problems quadratic functions parabola vertex 
The Definition of the Derivative
Calculus The Derivative
How to define the derivative of a function at a point x=a.
average rate of change slope secant line instantaneous rate of change tangent line limits derivative difference quotient 
Curve Sketching with Derivatives
Calculus Applications of the Derivative
How to evaluate the limit of a function using continuity.

Optimization Using the Closed Interval Method
Calculus Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.

Using Synthetic Division to Evaluate Polynomials
Algebra 2 Polynomials
How to use synthetic division to evaluate a function.
evaluating polynomials synthetic division 
Finding an Inverse Graphically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to graph the inverse of a function using points.
finding an inverse graphically switch x and y flip over y=x 
The Euler Formula
Precalculus Polar Coordinates and Complex Numbers
How to use the Euler Formula to convert a complex number from the exponential form to rectangular form.
complex numbers trigonometric form Euler formula e sine cosine modulus argument 
Graphing the Transformation y = a f(x) + k
Precalculus Introduction to Functions
How to graph the transformation y = a f(x) + k when f(x) = abs(x).
functions transformations stretch compression reflection vertical shift turning point 
The Transformation y = f(bx)
Precalculus Introduction to Functions
How determine what transformation the graph y = f(bx) represents when b > 1.
the square root function horizontal shift horizontal compression compression factor endpoint 
Population Growth
Biology Ecology
Understanding the effects of population growth.
population growth exponential growth logistic growth density independent density dependent abiotic biotic 
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.