Let f be a function such that f(-1) = 14 and f (8) = 2. Which of the following conditions ensures that f(c) = 8 in the open interval (-1,8) ? (A) f(x) dx exists -1 (B) f' is defined for all values of x in the closed interval [-1,8] (C) ƒ is defined for all values of x in the closed interval [–1,8]. (D) f is decreasing on the closed interval [–1,8]. O A O B D

Q: Assume that the function f(x) = x² – 1lx + 24 satisfies all the - conditions of the Rolle's theorem…

A:

Q: A table of values is given for Y, =f(x). Determine whether the intermediate value theorem guarantees…

A: Given Y1=25x4+48x3-241x2-329x+317

Q: Let f be the function defined by ƒ (x) = x² − 12x³ + 48x² − 64x. Which interval is the graph of f…

A:

Q: (a): Verify Mean value theorem for the function f(x) = 6x3 + x + 2 over the interval [0, 1].

A:

Q: Suppose that f(x) is a continuous function with f( – 1) = - 8 and f(3) = 8. Determine which choice…

A: Always true

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: Assume that the function f is a one-to-one function. (a) If f(5) = 2, find f-'(2). Your answer is…

A: Given that to he function f is one-to-one function.

Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? a. Concave upward on (-1, o0)…

A:

Q: (x2+3). Explain why √x4+24 Q7. Consider the function f : [0, 1] → R, x→ (a) f continuous, (b) f is…

A:

Q: 4.* (a) Let S = {1, 2, 3, 4}. Define F: SN by F(x) = x² for each x = S. What is the range of the…

A:

Q: 2) Sketch the graph of the floor function f(x) = x+31 over the interval [-4,2].

A:

Q: The function f(x) has a domain of [-9, 9] and is plotted below such that the porti of the graph on…

A: