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Let f: R→ R³ be defined by f(x) = (x, 8x², -2x). Is ƒ a linear transformation?
a. f(x + y) =______
f(x) + f(y) =________+________
Does f(x+y) = f(x) + f(y) for all z, y ER? choose (yes and no)
b. f(cx) =______
c(f(x)) =______
Does f(cx) = c(f(x)) for all c, x ER? choose (yes and no)
c. Is f a linear transformation? choose (yes and no)



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