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Mean value theorem is applicable and holds true for functions 1,2 and 4.
Functions 1 and 4 are polynomials and hence they are continuous for all x
Functions 2 is continuous in its domain. If confused, see its graph.
Larange's MVT
For f(x), having domain [a,b]
f(b)-f(a)/b-a belongs to given domain and For some value of x in its domain there exists f'(x) =f(b)-f(a)/b-a
Verify continuity and differentiability of function in its domain before solving.
Functions 1 and 4 are polynomials and hence they are continuous for all x
Functions 2 is continuous in its domain. If confused, see its graph.
Larange's MVT
For f(x), having domain [a,b]
f(b)-f(a)/b-a belongs to given domain and For some value of x in its domain there exists f'(x) =f(b)-f(a)/b-a
Verify continuity and differentiability of function in its domain before solving.
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