For f(x)=3|x| does the Mean Value Theorem apply on the interval [-2, 2] and why?

Q: for the function f(x) = x^3 − 2x^2 + 4x − 8 on the interval [1, 6]

A: Mean value Theorem:-Statement: Let f be continuous over the closed interval [a, b] and…

Q: Explain why the Mean Value Theorem does not apply to the function f on the interval [0, 6].

A: To satisfy the criteria of mean value theorem the function must be continuous in the closed interval…

Q: For what value of x is f ( x ) = 10 ? ( - 1, 6 ) ( 2, 8 ) ( 3, 10 ) ( 5, 16 )

A: We have to select one option which given 10 as the value of f(x) on putting value of x

Q: f(x) = sqrt 9-x, [-16,9]  If the Mean Value Theorem can be applied, find all values of c.

A: Consider the given function as fx=9-x and the interval is -16,9. Using a graphing utility, sketch…

Q: 1olvsrled bne 7. Find the difference quotient f(x+h}-f(x) for the function f(x) = x2 - 1. h

A: For the solution follow the next step.

Q: If f(x) = -e" - 2, then the range of f is given by the interval A. (-00, -2) B. (-00, +o0) C. (-2; ,…

A: Explanation of the solution is given below...