Verify Lagranges mean value theorem for function `f(x)=x^2-3x+2` on `[-1,\ 2]`

Let f(x) {:{(2+x^3 for x le 1),(3x for x >1):} Verify Lagrange's mean value theorem for the function f(x) on [-1,2]

Verify Lagranges mean value theorem for function f(x)=x^2-2x+4 on [1,\ 5] and find a point ' c ' in the indicated interval:

Verify Lagranges mean value theorem for function f(x)=x^2-1 on [2,\ 3] and find a point ' c ' in the indicated interval:

Verify Lagranges mean value theorem for function f(x)=x(x-1) on [1,\ 2] and find a point ' c ' in the indicated interval:

Verify Lagranges mean value theorem for function f(x)=x^2+x-1 on [0,\ 4] and find a point ' c ' in the indicated interval:

Verify Lagranges mean value theorem for function f(x)=2x-x^2 on [0,\ 1] and find a point ' c ' in the indicated interval:

Verify Lagranges' Mean value theorem for the function f(x)=2x^2-10x+29 in [2,9]

Verify lagranges mean value theorem for the function f(x)=(x-3)(x-6)(x-9) on [3, 5]

Verify Lagrange's Mean Value Theorem for the functions : f(x)=x" on "[a,b]

Verify Lagrange's mean value theorem for the function f(x) = 2x^(2) -10 x + 29 in the interval [2.7]