Question: Could someone please help me with this proof Let f be a function defined on an interval I. We say that of is strictly increasing

Could someone please help me with this proof Let f be

Could someone please help me with this proof

Let f be a function defined on an interval I. We say that of is strictly increasing if x, ex, in I implies That f(xilef( x2 ) Similarly, fis strictly decreasing if x, f(x2) Prove The following. 1. If f is continuous and injective on I, Then of is strictly increasing or Strictly decreasing 2. If f is strictly increasing and if f(I) is an interval, Then f is continuous. Furthermore, f" is a strictly increasing continuous function on f(I)

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