Answer :

akposevictor

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

[tex] f(0) = 0 [/tex] (when x = 0, y = 0)

[tex] f(4) = 3 [/tex] (when x = 4, y = 3)

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = 0, f(a) = 0 [/tex]

[tex] b = 4, f(b) = 3 [/tex]

Plug in the values into the formula for average rate of change.

[tex] = \frac{3 - 0}{4 - 0} [/tex]

[tex] = \frac{3}{4} [/tex]

Average rate of change [tex] = \frac{3}{4} [/tex]

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