How do i find the average rate of change of the function f(x)=5x from x1=0 to x2=3 .....im so confused
f(0) = 0
f(3) = 15
avg rate of change = (15-0)/(3-0) = 5
To find the average rate of change of a function, you need to determine the slope of the line connecting two points on the function. In this case, we want to find the average rate of change of the function f(x) = 5x from x1 = 0 to x2 = 3.
The formula for average rate of change is:
Average Rate of Change = (f(x2) - f(x1)) / (x2 - x1)
Now, let's substitute the given values into the formula. Since f(x) = 5x, we plug in x2 = 3 and x1= 0:
Average Rate of Change = (f(3) - f(0)) / (3 - 0)
Average Rate of Change = (5(3) - 5(0)) / 3
Average Rate of Change = (15 - 0) / 3
Average Rate of Change = 15 / 3
Average Rate of Change = 5
Therefore, the average rate of change of the function f(x) = 5x from x1 = 0 to x2 = 3 is 5.