Which is absent?

Algebra Level 2

Let y = f ( x ) = ( x 2 + 1 ) / ( x 2 + 2 ) y = f(x) = (x^2 + 1)/(x^2 + 2) over all real numbers.

Which of the numerical answers listed is NOT a possible value of y y ?

0.6 0.5 0.7 0.8 Insufficient information provided to determine 0.4 All the numerical values listed are possible 0.9

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1 solution

Denton Young
Dec 13, 2017

The function has a minimum value of 0.5 at x = 0 and asymptotically approaches 1 from below as x approaches positive and negative infinity. So 0.5, 0.6, 0.7, 0.8, and 0.9 are all possible values, but 0.4 is not.

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