Question

Calculate the average rate of change of y=x2+3x−2 on the interval 1≤x≤2

Answer 1

Answer:

The rate of change for the given function is 6.

Step-by-step explanation:

Given function is:

$y = x^2+3x-2$

The interval on which we have to find the rate of change is:

1≤x≤2

Here

a = 1

b = 2

We have to find the values of function on both points

Putting 1 in place of input (x)

$y_a= (1)^2+3(1)-2\\= 1+3-2\\=2$

Putting x = 2

$y_b = (2)^2+3(2)-2\\= 4+6-2\\=8$

The rate of change is calculated by using the following formula

$Rate\ of\ change = \frac{y_b-y_a}{b-a}\\=\frac{8-2}{2-1}\\= \frac{6}{1}\\=6$

Hence,

The rate of change for the given function is 6.