college algebra

The average rate of change of g(x) = 2x-1 from x = 2 to x = 6 is 7.5.
true or false

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1. g ( 2 ) = 2 * 2 - 1 = 4 - 1 = 3

g ( 6 ) = 2 * 6 - 1 = 12 - 1 = 11

11 - 3 = 8

6 - 2 = 4

8 / 4 = 2

False

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2. No calculations are necessary.

The function is linear, so the rate of change is constant, namely its slope which is 2

so the average rate of change is 2 , not 7.5

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