contestada

How do the average rates of change for the pair of functions compare over the given interval?

f(x)=0.9x^2
g(x)=2.7x^2

1≤x≤5

The average rate of change of f(x) over 1 ≤x≤5 is ☐.The average rate of change of g(x) over 1≤x≤5 is ☐.The average rate of change of g(x) is ☐ times that of f(x)

-(Simplify your answers. Type integers or decimals.)

Respuesta :

sqdancefan

9514 1404 393

Answer:

  3 times

Step-by-step explanation:

We observe that both functions are vertically scaled versions of the parent quadratic y = x^2. The ratio of scale factors is 2.7/0.9 = 3. That is, ...

  g(x) = 3f(x)

This means that whatever vertical difference f(x) may show over the interval, g(x) will show 3 times that difference.

The average rate of change of g(x) is 3 times that of f(x).

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