Get started today!

Good to have you back!
If you've signed in to StudyBlue with Facebook in the past, please do that again.

- StudyBlue
- Florida
- University of Florida
- Calculus
- Calculus 2311
- Smith
- 1.2 Classes of Functions

Kenneth P.

Power Function

A function f given by the rule f(x) = x^{a}, where a is a fixed real number.

Polynomial Function

Advertisement

Reciprocal Function

The special case of the function, f(x) = 1/x.

Root Function

A power function where a is a fraction, f is given by the rule f(x) = x^{a} = x^{1/n} = ^{n}√a.

Degree

The largest exponent present in a polynomial function.

Coefficient

The real numbers that multiply the power functions in a polynomial.

Constant Function

A polynomial function with a degree of zero.

Linear Function

A polynomial function with a degree of one.

Quadratic Function

A polynomial function with a degree of two.

Cubic Function

A polynomial function with a degree of three.

Rational Function

The ratio of two polynomial functions.

Advertisement

Trigonometric Function

Functions including sin, cos, tan, cot, sec, or csc.

Periodicity

The tendency of a function to repeat itself in a regular pattern at established intervals.

Periodic Function

A function which has a period T > 0 if f(x) = f(x + T) for all x and T is the smallest positive real number with this property.

Algebraic Function

A function that contains only addition, subtraction, multiplication, division, and taking roots.

Transcendental Function

A function that is not algebraic. This includes trigonometric functions

and their inverses, exponential functions and their inverses.

Logarithmic Function

The inverse of an exponential function.

Absolute Value Funciton

A function which takes a part and makes it positive. It has more than one range.

Exponential Function

A function that contains a variable as an exponent, such as f(x) = 2^{x}.

Want to see the other 19 Flashcards in 1.2 Classes of Functions?
JOIN TODAY FOR FREE!

"StudyBlue is great for studying. I love the study guides, flashcards and quizzes. So extremely helpful for all of my classes!"

Alice , Arizona State University"I'm a student using StudyBlue, and I can 100% say that it helps me so much. Study materials for almost every subject in school are available in StudyBlue. It is so helpful for my education!"

Tim , University of Florida"StudyBlue provides way more features than other studying apps, and thus allows me to learn very quickly! I actually feel much more comfortable taking my exams after I study with this app. It's amazing!"

Jennifer , Rutgers University"I love flashcards but carrying around physical flashcards is cumbersome and simply outdated. StudyBlue is exactly what I was looking for!"

Justin , LSU
StudyBlue is not sponsored or endorsed by any college, university, or instructor.

© 2015 StudyBlue Inc. All rights reserved.

© 2015 StudyBlue Inc. All rights reserved.