Download presentation

Presentation is loading. Please wait.

Published byLee Ball Modified over 6 years ago

1
Chapter 7: Rational Algebraic Functions Section 7-11: Variation Functions

2
Objectives Given a real world situation: Determine which kind of variation function is a reasonable mathematical model. Find the particular equation for the function. Predict values of y or x.

3
Variation Functions A relatively simple type of function that is very useful as a mathematical model has an equation in which y is equal to a constant multiplied or divided by a power of x. These are called variation functions.

4
Examples of Variation Functions The following equations are types of variation functions:

5
Definition of Variation Functions If k and n are constants, then “ y varies directly with the n th power of x ” means: y = kx n And “ y varies inversely with the n th power of x ” means: y = k/x n

6
Notes: If n is a positive integer: Direct variation functions are special cases of polynomial functions (linear, quadratic) Inverse variation functions are special cases of rational algebraic functions. The equation y = kx n can be both direct and inverse (because n could be negative). The words “Varies directly with” mean

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google