If f(4) = 7 and f'(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be? f(7) = Enter an exact number

Q: Suppose that 2 <f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: Using Mean Value Theorm.

Q: How would you formaly write out a proof for the following problem: f'(1.5) = -1 if f(x) =|x - [x-1]|…

A: Find the derivative at x=1.5 of the function

Q: Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

A: Given that, Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum…

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x&lt;=0 and F(x)= x^2+2x+k if x&gt;0 if…

A:

Q: f(x) = 52 — 2 for −(x − 1)² +1_for - 13 for 32 x Find f(4) x 4

A:

Q: False. For example, the maximum off (x) = x 2 + 1 on [l, 2] is 5, occurring at x = 2, but f' (2) #…

A: Given, the function f(x) = x2 + 1 on [1, 2], we have to check the maximum of the function on the…

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

A:

Q: Determine the domain and range of 1.) f-¹(x) = x-1/2 2.) f-¹(x) = x-4

A:

Q: f(x) is a function such that f"(x) > 0 for x # 0 and f"(0) is undefined. Sketch 2 different graphs…

A: Here we need to plot two functions such that and f''(0) is undefined.In other words f(x) is concave…

Q: 9. Use the given graph of f (x) x2 to find a number 8 such that %3D if |x – 1| < 8 then |x2 – 1| <;…

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Q: values

A: We will find the value of x between 0&lt;x&lt;10.