Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. what are the minimum and maximum possible values of f(6) − f(4)?


Answer 1
Answer: If we let m represent the average value of f'(x) over the interval x ∈ [4, 6], then the value of f(6) will be
  f(6) = f(4) + m(6 -4)
  f(6) = f(4) + 2m
And the difference f(6) - f(4) is
  f(6) - f(4) = (f(4) +2m) - f(4) = 2m

The problem statement tells us that m must be in the range 2 ≤ m ≤ 3, so 2m is in the range 4 ≤ 2m ≤ 6.

The minimum possible value of f(6) - f(4) is 4.
The maximum possible value of f(6) - f(4) is 6.

Related Questions


What is the weight limit on a 30ft wingspan hand glider?


220 - 240lbs 
Hope It Helps :)
Hang gliding is an air sport or recreational activity in which a pilot flies a light, non-motorized .... Woven polyester provides the best combination of light weight and durability in a sail with the best overall handling qualities. .... hang gliders rely on the natural stability of their flexible wings to return to equilibrium in yaw and pitch.

What value of x makes the equation true? –7.12 = –4.8 + x A. –11.92 B. –11.2 C. –2.32 D. 2.32


The opposite of negative is positive, so we add -4.8 to both sides. -7.12- -4.8=-2.32. So your answer is C. -2.32. Hoped I helped. :)

Solve: negative 1 over 2 x 1 = −x 8
a. 7
b. 1 over 2
c. 14
d. 18



Option c - x=14

Step-by-step explanation:

Given : Expression  

To find : Solve the expression ?

Solution :

Step 1 - Write the expression,

Step 2 - Take like terms together,

Step 3 - Solve the addition,

Therefore, Option c is correct.

None of these are correct if you typed the problem right. The correct answer would be x=1 over 16

YOU PROBABLY CAN'T ANSWER THIS :/ Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?

explain your answer step by step


Rate of change of the function: 60

Step-by-step explanation:

The exponential function in this problem is

The rate of change of a function between a certain interval is given by


is the value of the function calculated in

is the value of the function calculated in

In this problem, the interval is

So we have:


Therefore, the rate of change is:

Learn more about rate of change:


Random Questions