given the equation y=6x+2. rewrite the equation using function notation f(x)=

Question

i dont know the answer or how to g]figure it out

Answer 1

Seth,

 

Perhaps I'm missing something but functional notation is very similar to equation notation in that rather than using 'y', we'd use f(x).  Keep in mind that a function operates as a machine with an input (x) and an output [f(x)].

 

In this case then, we'd write:

 

f(x) = 6x + 2

Answer 2

The equation y=x+2 is the equation of a line in slope-intercept form.  It uses x and y variables.  The line may be plotted on the horizontal (x) and vertical (y) axes of the Cartesian Coordinate System.

 

In "f(x)=" form, this is f(x)=x+2.  This is simply introducing a new notation that indicates that y is a function of x.  Now,  be sure to understand the definition of a function (a function has exactly one or no y-value for each allowable x-value) and learn the "vertical line rule."

 

So, vertical lines are not functions.  That's why the equation for a vertical line may not be written in slope-intercept form (y=mx+b).  The slope of a vertical line is undefined.  That's where the Standard Format of the equation of a line (Ax+By=C) is useful.  For example, x=5 is a vertical line and therefore it is not a function of x.