Between x = 2 and x = 3, which function has the smallest average rate of change?
the options are:

a)y = 6^(x-1)
b)y = 7^(x-2)
c)y = 4^(x + 1)
d)y = 4^(x - 1)

Function has the smallest average rate of change

Set A to set B is said to be a function if each member of set A pairs is exactly one member of set B

So, one value of x is only assigned to one value of y

A function can be expressed in the form of a cartesian diagram, sequential pairs, or arrow diagram

If y is a function of x, then y = f (x)

where x is the independent variable and y is the dependent variable

x is the domain and y is the result area or range

There are several forms of function including:

The Average Rate of Change function shows the comparison between 2 objects that change

If we use function notation, the Average rate of Change of a function from a to b can be formulated as:

ROC = rate of change

Let's check the function choices that have the smallest average rate of change (values a = 2 and b = 3 we input as the value of x)

F (x) = x2 + 1 g (x) = 5 - x

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the inverse of the function f (x) = 2x-10

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domain of the function

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Keywords: average rate of change, function

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50