Give an example of a function f which satisfies the initial value problemI.V.P on a closed and bounded interval [a, b], but is not continuous on [a, b]

Give an example of a function f which satisfies the initial value problemI.V.P on a closed and bounded interval [a, b], but is not continuous on [a, b]

Let [a, b] be a bounded closed interval, f ∈ R[a, b] and M > 0. Suppose that |f (x)| ≤ Mfor all x ∈ [a, b]. Prove thatZ baf ≤ M (b − a)

Give an example of a function that is uniformly continuous on R but is not bounded on R.

The command used to plot the function f in the interval [a,b]a.ezplot(f,[a,b])b.plot(f)c.eplot(f)d.ezplot(f)

If A(x) is the area under the graph of a nonnegative continuous function f over an interval [a, x], then A'(x) = f (x).Select one:TrueFalse