If f(x)= cases 2-|x^2+5x+6|,&x -2 ^2+1,&x=-2

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If f(x)={2−∣x2+5x+6∣,x≠−2a2+1,x=−2,f(x)=\begin{cases}2-|x^2+5x+6|,&x\ne-2\\a^2+1,&x=-2,\end{cases} then the range of aa such that f(x)f(x) has a maximum at x=−2x=-2 is (1) ∣a∣≥1|a|\ge1 (2) ∣a∣<1|a|<1 (3) a>1a>1 (4) a<1a<1

Related theory

Browse the problem library