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What is the common rate of change

What Is The Common Rate Of Change class=

Sagot :

Reinhard10158idn

Step-by-step explanation:

for a linear function the rate of change is constant everywhere.

that means that

(f(a) - f(b))/(a - b)

is constant (the same value) for all possible values of a and b.

looking at the graphic I see several "nice" points (points with integer coordinates).

e.g. (0, 1), (1, -1)

as you know, for functions and their point coordinates, the x-values are the arguments in the function (like a and b), and the y-values are the function results.

so, we get

a = 1, b = 0, f(1) = -1, f(0) = 1

(-1 - 1) / (1 - 0) = -2/1 = -2

the common rate of change (also called e.g. slope) of this line is -2.

that means every time we increase x by 1, y changes by -2 (the line goes down from left to right).

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