Question

Let  f : R → R be a continuous function defined by f(x) = 1/(e^x + 2e^-x)

Statement I f(c) = 1/3, for some c ∈ R

Statement I 0 < f(x) ≤ 1/2√2, ∀ x ∈ R

(a) Statement I is false, Statement ll is true

(b) Statement I is true, Statement II is true; Statement II is a correct explanation of Statement I

(c) Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I

(d) Statement I is true, Statement II is false

Answer 1

Correct option (b) Statement I is true, Statement II is true; Statement II is a correct explanation of Statement I

Explanation:

Statement ll rs true and Statement I is also true as for some 'c' .

So, statement ll is correct explanation of statement I