AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Inverse functions

INTERMEDIATE ALGEBRA EXAM

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
Mathematical analysis
Inverse functions
polynomials
Completing the square
Function
Logarithm
Implicit and explicit functions
education

MATH EXAM 1 THRU 4 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 THRU 4 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 THRU 4 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4

EXPONENTIAL AND LOGARITHMIC FUNCTION EXAM

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
Mathematical analysis
Special functions
logarithms
Functions and mappings
Exponentials
Inverse functions
Analytic functions
Exponential function
Exponentiation
Function
E

Exam 4 Which of the following ordered pairs is a solutuion of (-2,-36) c. (-2,1/36) (-2,1/12) d. (-2,-12) Use composition to show that the pair of functions are inverses. Let find f-g the graph represents a function use the horizontal line test to decide where function is one to one If the function is one to one, find its inverse Find the inverse of the function. Then graph the function and its inverse on one coordinate system. Show line of symmetry on graph Let find the composition (f ? g)(x) Write in exponential form Evulatate the expression Evaluate the expression. Evualtae the expression Write the logarithm as a sum/ difference of logarithms of a single quanity. Then simplify if possible

FINAL EXAM- FORMULAS/EQUATION/INEQUALTIES/EXPONENTIAL AND LOG FUNCTIONS/SYSTEMS OF EQUATIONS,QUADRATIC EQUATIONS,FUNCTIONS,INEQU

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
Mathematical analysis
Inverse functions
polynomials
Completing the square
Function
Logarithm
Implicit and explicit functions
education

MATH EXAM 1 THRU 4 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 THRU 4 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 THRU 4 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4

FINAL EXAM- FORMULAS/EQUATION/INEQUALTIES/EXPONENTIAL AND LOG FUNCTIONS/SYSTEMS OF EQUATIONS,QUADRATIC EQUATIONS,FUNCTIONS,INEQU

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
Mathematical analysis
Functions and mappings
Inverse functions
Algebra
Function
Logarithm
Completing the square
Graph of a function
Polynomial
Implicit and explicit functions

MATH EXAM 1 THRU 4 MATH EXAM #1 Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4 7. GRAPH THE SOLUTIONS OF THE SYSTEM 2x ? 4y > -6 3x + y > 5 8. find the solutions of the system X ? Y < 5 Y < 0 X > 0

EXPONENTIAL AND LOGARITHMIC FUNCTIONS REVIEW

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
Mathematical analysis
Special functions
logarithms
Functions and mappings
Exponentials
Inverse functions
Analytic functions
Exponential function
Exponentiation
Function
E

Exam 4 Which of the following ordered pairs is a solutuion of (-2,-36) c. (-2,1/36) (-2,1/12) d. (-2,-12) Use composition to show that the pair of functions are inverses. Let find f-g the graph represents a function use the horizontal line test to decide where function is one to one If the function is one to one, find its inverse Find the inverse of the function. Then graph the function and its inverse on one coordinate system. Show line of symmetry on graph Let find the composition (f ? g)(x) Write in exponential form Evulatate the expression Evaluate the expression. Evualtae the expression Write the logarithm as a sum/ difference of logarithms of a single quanity. Then simplify if possible

Inverse Functions

Subject: 
Algebra
Rating: 
0
No votes yet
Tags: 
Mathematics
Inverse functions
Abstract algebra
Functions and mappings
Inverse function
Inverse element
Function
Inverse
Bijection
education

Inverse Functions Given a function , if there is a function such that which equals the identity function The function is said to be "invertible" "undoes" what "does", and vice versa Such a function is called the inverse, denoted as (the inverse of ) The notation is not to be confused with an exponent In some cases the inverse of a function can be found through algebraic methods CONSIDER: Given to determine we must find a functions that must undo But, recall the set of outputs from , to undo we take Thus Observe that: Not every function has an inverse CONSIDER: But is not a function. An inverse only exists when different inputs in the domain always yield different outputs in the range Such functions are called one-to-one
Subscribe to RSS - Inverse functions

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!