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Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O A. -6 > O B. 12 O c. 6 O D.-12

Respuesta :

MrRoyal

Answer:

c. 6

Step-by-step explanation:

Given

See attachment for graph

Required

Average rate of change

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex](a,b) = (2,4)[/tex]

So, we have:

[tex]Rate = \frac{f(4) - f(2)}{4 - 2}[/tex]

[tex]Rate = \frac{f(4) - f(2)}{2}[/tex]

Using the attached graph, we have:

[tex]f(2) = 4[/tex]

[tex]f(4) = 16[/tex]

So, we have:

[tex]Rate = \frac{16- 4}{2}[/tex]

[tex]Rate = \frac{12}{2}[/tex]

[tex]Rate = 6[/tex]

Ver imagen MrRoyal