How does slope and function notation relate?

Answer 1

The "slope" of a line and the "function" notation (f(x)) both give you the "rate" at which the function (line on the graph) is CHANGING (rate of change).

Imagine a small graph with MONEY on the "Y" axis (the vertical one), and TIME in DAYS on the x-axis (the horizontal one). Draw a diagonal line on that graph. At any given DAY you will have an amount of money. The SLOPE of that line gives you how much money you are GAINING or LOSING per DAY....thus, the RATE of change...

Hope this helps...good luck

Answer 2

function notation is f(x)=........ (the f(x) area) slope is........ slope intercept style: y=mx+b slope=upward push/run and, M=y[2]-y[a million]/x[2]-x[a million] (2 and a million are purely pointing out the position they stand contained in the ordered pair ex: (2,a million) and (3,4)..... y[2] is 4, y[a million] is a million, x[2] is 3, x[a million] is two they relate because both are used to discover the independant and dependant variables contained in the equation.

Answer 3

f(x) is essentially a different name for "y". So in function notation the slope formula would be
m = [ f(x2) - f(x1) ] / [ x2 - x1 ]