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daniel_i_l
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Homework Statement
Let f:[0,2]->R be defined as:
if 0 =< x =< 1 then f(x) = 4(x^3)
if 1 < x =< 2 then x = x^2 + 2
Prove or disprove:
There exist c_1 , c_2 in R so that F:[0,2]-R defined as:
if 0 =< x =< 1 then f(x) = x^4 + c_1
if 1 < x =< 2 then x = (x^3)/3 + 2x + c_2
Homework Equations
The Attempt at a Solution
Now my question is, why don't any c_1,c_2 make F an AD of f?
Can any shed some light on this?
Thanks.