Question

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求第六題的證明

6. Suppose f(x) > 0 and f(x + y) = f(x)f(y) for all x, y E R. Prove that if f is continuous at
x = 0, then f(0) = 1 and f is continuous on R = (-∞, ∞).
7. Let f(x) =
11
if x ≤ 0
ax+b, if 0<x< 1 If f is continuous on R, then find the values of a and b.

Answer 1

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