Look at each possible solution of the inequality −12 < 2x + 8 < −6 below. Is the value of x actually a solution of the inequality? Select Yes or No for each value of x. x = −10
A Yes B No
x = −8
A Yes B No
x = −14
A Yes B No

x= -10 , False B

x= -8, False B

x= -14, True A

Step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

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