Like what you saw?
Create FREE Account and:
- Watch all FREE content in 21 subjects(388 videos for 23 hours)
- FREE advice on how to get better grades at school from an expert
- Attend and watch FREE live webinar on useful topics
Power Functions - Concept
PhD. in Mathematics
Norm was 4th at the 2004 USA Weightlifting Nationals! He still trains and competes occasionally, despite his busy schedule.
A power function is a function where y = x ^n where n is any real constant number. Many of our parent functions such as linear functions and quadratic functions are in fact power functions. Other power functions include y = x^3, y = 1/x and y = square root of x. Power functions are some of the most important functions in Algebra. All power functions pass through the point (1,1) on the coordinate plane.
I want to introduce the idea of a power function. A power function is one of the form Y=X^N where N is any real number constant. A lot of our parent functions are actually power functions, for example, Y=X. One of our simplest functions is a power function where N is 1.
So here N=1. Y=X2, obviously a power function. N=2. Y=X3 . N=3, also a power function. Y=1/X is a power function. Here 1/X is the same as X-1 . So this is a power function with N=-1. And finally, Y= the square root of X. The square root of X is the same as X1/2 . So this is a power function with N=1/2.
Power functions are really important. And a lot of the basic functions we study are power functions. And so it's important to know the definition. One of the things that they all have in common is that they all pass through the point (1, 1). Anyway, power functions, functions of the form Y= X^N
Stuck on a Math Problem?
Ask Genie for a step-by-step solution
Please enter your name.
Are you sure you want to delete this comment?
- Integer Power Functions 15,657 views
- Polynomial Functions 30,911 views
- Graphing Polynomial Functions 26,283 views
- Graphing Polynomial Functions with Repeated Factors 15,944 views
- Find an Equation of the Polynomial Function 28,095 views
- Finding Maximum and Minimum Values 17,375 views
- Finding Zeros of a Polynomial Function 38,978 views
- Using the Conjugate Zeros Theorem 13,978 views
- The Reciprocal Transformation 14,698 views
- Introduction to Rational Functions 24,319 views
- Limits of Rational Functions 14,940 views
- Limits at a Glance 11,229 views
- Graphing Rational Functions, n less than m 12,473 views
- Graphing Rational Functions, n=m 10,234 views
- Graphing Rational Functions, n>m 13,127 views
- Graphs with Holes 12,965 views