Suppose that 2 ≤ f ' ( x ) ≤ 3 for all values of x . What are the minimum and maximum possible values of f ( 7 ) − f ( 2 ) ? ≤ f ( 7 ) − f ( 2 ) ≤

10 ≤ f ( 7 ) − f ( 2 ) ≤ 15

Step-by-step explanation:

Integrating the given inequalities along the interval from x = 2 to x = 7 yields the minimum and maximum possible values:

The minimum possible value is 10 and the maximum possible value is 15.

x is variable or an unknown value to find

example:

2x = 5 which means x = 3

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29