Given the function defined by y=x2+3 , what is its average rate of change from x = 2 to x = 5?
(please help)
Please please help me
I will be so grateful and so happy if someone could take the time to help me out?
(f(5)-f(2))/(5-2)
so plug and chug
To find the average rate of change of a function, you need to calculate the difference in the function's values at the two given x-values and divide it by the difference in the x-values.
Given the function y = x^2 + 3, we need to calculate its values at x = 2 and x = 5:
For x = 2:
y = (2)^2 + 3
y = 4 + 3
y = 7
For x = 5:
y = (5)^2 + 3
y = 25 + 3
y = 28
Now that we have the y-values, we can calculate the average rate of change:
Average rate of change = (change in y) / (change in x)
Change in y = y2 - y1 = 28 - 7 = 21
Change in x = x2 - x1 = 5 - 2 = 3
Average rate of change = 21 / 3 = 7
Therefore, the average rate of change of the function y = x^2 + 3 from x = 2 to x = 5 is 7.