The average rate of change of the function f(x) = -2x + 15 from x = 0 to x = 3 is -2.
The average rate of change of a function between two points x₁ and x₂ is given by the formula:
Average Rate of Change = (f(x₂) - f(x₁)) / (x₂ - x₁)
In this case, the function is f(x) = -2x + 15, and x₁ = 0, x₂ = 3.
Substitute x₁ and x₂ into the function to find f(x₁) and f(x₂):
f(x₁) = f(0) = -2(0) + 15 = 15
f(x₂) = f(3) = -2(3) + 15 = 9
Substitute these values into the average rate of change formula:
Average Rate of Change = (f(x₂) - f(x₁)) / (x₂ - x₁)
Average Rate of Change = (9 - 15) / (3 - 0)
Simplify the expression:
Average Rate of Change = -6 / 3
Average Rate of Change = -2
Therefore, the average rate of change of the function from x = 0 to x = 3 is -2.
Complete question:
How do I find the average rate of change of the function from x1 to x2?
The function is f(x)= -2x + 15 and x1= 0, x2= 3