What is the average rate of change for the sequence shown below? , 2.5), (0,3. (.5, 3.5). (1,4)

The average rate of change for this sequence is 1

Step-by-step explanation:

The average rate of change is calculated as the slope of the line joining the end points of the sequence.

In this case the end points are;

(-.5, 2.5) and (1,4)

We simply calculate the slope using the gradient formula;

Change in y / change in x

(4 - 2.5)/(1 - -0.5) = 1

1

Step-by-step explanation:

We are given the following sequence below and we are to find out the average rate of change for it:

(-.5, 2.5), (0,3, 0.5), (1,4)

We can find the average rate of change for this by taking any two points from this sequence and finding its slope.

Slope =

Therefore, the average rate of change for this sequence is 1.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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