GATE 2023 BM – Question 7

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

Which function represents the given graph?

$f(x)=x^2 2^{-|x|}$
$f(x)=x2^{-|x|}$
$f(x)=|x|2^{-x}$
$f(x)=x2^{-x}$

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) $f(x)=x^2 2^{-|x|}$

Explanation

The graph is even, nonnegative, zero at the origin and decays to zero at both infinities. A has all four properties: x² supplies a nonnegative zero and 2^(−|x|) supplies symmetric exponential decay. B and D change sign; C grows without bound toward negative infinity. Thus A.

More Quantitative Aptitude: Algebra, Geometry and Mensuration questions

GATE 2022 BM Q3 – If r is a root of x²+2x+6=0, find (r+2)(r+3)(r+4)(r+5).
GATE 2021 BM Q4 – Define operators by p⊙q=p−q and p⊕q=p×q. Evaluate (9⊙(6⊕7))⊙(7⊕(6⊙5)).
GATE 2020 BM Q9 – A 4×4 matrix M=[mᵢⱼ] has zero diagonal and mᵢⱼ=−mⱼᵢ. What minimum number of entries…
GATE 2025 CS (CS1) Q7 – In the diagram, the lines QR and ST are parallel to each other. The shortest distance…
GATE 2025 CS (CS2) Q3 – If Pex = Qe-x for all real values of x, which one of the following statements is true?
GATE 2025 CS (CS2) Q9 – In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L…

All Quantitative Aptitude: Algebra, Geometry and Mensuration questions →