Question

Find rate of change of function f(x) = 2(0.2)x as x changes from x to x + 2

Answer 1

Answer:

-0.8

Step-by-step explanation:

The rate of change of a function is Δy/Δx.

= so (y2 - y1) / (x2-x1)

= ( 2(0.2)(x+2) - 2(0.2)(x+2) ) / ( ( x+2) - x)

= (0.4x - 0.8  - 0.4x - 0.8) / 2

= -1.6/2

= -0.8 ans

The negative sign shows that function is decreasing as x moves from x to x+2.

Thus, the function decreases 0.8 units for every one unit that x increases.