Question

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

Answer 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

Answer 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