Explain why rolle's theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (select all that apply.) f(x) = cot x 2 , [π, 9π] there are points on the interval [a, b] where f is not continuous. none of these. there are points on the interval (a, b. where f is not differentiable. f(a) does not equal f(b) for all possible values of a and b in the interval [π, 9π]. f '(a) does not equal f '(b) for any values in the interval [π, 9π].

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 + 4x + 5 = 0