Let R be the set of real numbers and f : R R be given by f ( x )= | x | - (1+| x |) . We now make the following assertions: I. There exists a real number A such that f ( x ) A for all x II. There exists a real number B such that f(x) B for

Question

Let R be the set of real numbers and f : R R be given by f ( x )= | x | - (1+| x |) . We now make the following assertions: I. There exists a real number A such that f ( x ) A for all x II. There exists a real number B such that f(x) B for all x

Quantrex Academy · Accepted Answer

Correct answer: B. I is false and II is true

graph of given function actually look like this Clear from graph option (B) is right.

Let R be the set of real numbers and f : R R be given by f ( x )= | x | - (1+| x |) . We now make the following assertions: I. There exists a real number A such that f ( x ) A for all x II. There exists a real number B such that f(x) B for all x

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Correct answer

Step-by-step solution

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