f, g, h are three function defined from R to R as follows:
Question:

fgh are three function defined from R to R as follows:

(i) f(x) = x2

(ii) g(x) = sin x

(iii) h(x) = x2 + 1

Find the range of each function.

Solution:

(i) Given:

f (x) = x2

Range of f(x) = R+ (set of all positive integers)

 = {y ∈ R| y ≥ 0}

(ii) Given:

g(x) = sin x

Range of g(x) = {y ∈ R : –1 ≤ y ≤ 1}

(iii) Given:

(x) = x2 + 1

Range of (x) = {y ∈ R : y ≥ 1}

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