Discussion Assignment
Let f(x)=\sqrt(x) with f: \mathbb{R} \to \mathbb{R}. Discuss the properties of f. Is it injective, surjective, bijective, is it a function? Why or why not? Under what conditions change this?
Explain using examples.
f is not surjective and injective since the range and domain are [0,+ )
for f to be a bijection is necessary and sufficient, f must be injection and surjection=>
f is not bijective
if f:[0,+ )->[0,+ )
f-increasing function сonsequently exist
f- is bijective=>f is injective and surjective
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