Problema Solution
A pendulum creates a movement which can be represented by a graph: f(x)=2x-4x+2. Find the slope of the decant line for the interval [1/2,2]
Answer provided by our tutors
f(x)=x^2-4x+2
Slope of secant line between (x1, f(x1)) and (x2, f(x2))
Slope = average rate of change
Slope = (f(x2)−f(x1))/(x2−x1)
x1 = 1/2
x2 = 2
f(1/2) = (1/2)^2 - 4*(1/2) + 2
f(1/2) = 1/4
f(2) = 2^2 - 4*2 + 2
f(2) = - 2
Slope = (f(2) - f(1/2))/(2 - 1/2)
Slope = (- 2 - 1/4)/(3/2)
Slope = (-9/4)(3/2)
Slope = -27/8