Give an example of a (discontinuous) function that does not satisfy the conclusion of the IVT on [-1, 1]. Then show that the function sin - x +0 f(x) = x = 0 satisfies the conclusion of the IVT on every interval [-a, a].

Q: Is there a real function f(x) that is differentiable only at a point x?

A:

Q: Plot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and…

A: In the question it is asked to draw diagram for f(x)=x(x-3)(x+3). Also it is asked to draw…

Q: f(xh) fx) - , h 0, for the given function f Find the difference quotient h f(x) _

A: The given function is: