Answer:
The rate of change for the given function is 6.
Step-by-step explanation:
Given function is:
![y = x^2+3x-2](https://tex.z-dn.net/?f=y%20%3D%20x%5E2%2B3x-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](https://tex.z-dn.net/?f=y_a%3D%20%281%29%5E2%2B3%281%29-2%5C%5C%3D%201%2B3-2%5C%5C%3D2)
Putting x = 2
![y_b = (2)^2+3(2)-2\\= 4+6-2\\=8](https://tex.z-dn.net/?f=y_b%20%3D%20%282%29%5E2%2B3%282%29-2%5C%5C%3D%204%2B6-2%5C%5C%3D8)
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](https://tex.z-dn.net/?f=Rate%5C%20of%5C%20change%20%3D%20%5Cfrac%7By_b-y_a%7D%7Bb-a%7D%5C%5C%3D%5Cfrac%7B8-2%7D%7B2-1%7D%5C%5C%3D%20%5Cfrac%7B6%7D%7B1%7D%5C%5C%3D6)
Hence,
The rate of change for the given function is 6.
Answer:
-6/7
Step-by-step explanation:
I took the test this is correct
5/9.....real number....rational number
Yes this answer would be correct I just need to get pass the ads so yuh it’s good.