math
posted by johnny .
What similarities and differences do you see between functions and linear equations, Are all linear equations functions? Is there an instance when a linear equation is not a function? Create an equation of a nonlinear function and provide two inputs to evaluate.

A straight line, unless vertical, has one and only one value of the dependent variable (y for example) for every value of the independent variable (x for example). It is therefore a function unless it is vertical. Therefore I claim that all linear equations are functions except one of form x = constant.
An easy nonlinear function is y = x^2
Here there is one and only one value of y for every value of x so it is a function. You can put in a couple of values of x and find y, for example (0,0) and (3,9).
Notice that x is NOT a function of y in this equation because there are TWO values of x for every y.
Respond to this Question
Similar Questions

Algebra
What similarities and differences do you see between functions and linear equations studied in Ch. 3? 
MAT 116 Algebera 1A
What similarities and differences do you see between functions and linear equations studied in Ch. 3? 
Math 116
What similarities and differances do you see between functions and linear equations studied in Ch.3? 
Algebra
What similarities and differences do you see between functions and linear equations? 
math and desperate
What similarities and differences are there between functions and linear equations? 
Need Help!! Algebra
I am having trouble in this class and need help with this question.. What similarities and differences do you see between functions and linear equations studied Are all linear equations functions? 
Math
What similarities and differences do you see between functions and linear equations studied in Ch. 3? 
math
What similarities and differences do you see between functions and linear equations studied in Ch. 3? 
Algebra
What similarities and differences are there between functions and linear equations? 
math
What similarities and differences do you see between functions and linear equations studied in Ch. 3?