A Peace and Wise Function

Algebra Level 4

A function is defined as f ( x ) = y f(x)=y is shown by the picture.

How many real solutions are there to

∣ ∣ f ( x ) ∣ − 1 ∣ = 1 2 ? \left| \left| f(x) \right|-1 \right| = \frac{1}{2}?


The answer is 8.

Jason Chrysoprase by Jason Chrysoprase , 18, Indonesia

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2 solutions

Marta Reece
Mar 5, 2017

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Sabhrant Sachan
Mar 5, 2017

for ∣ f ( x ) ∣ = 3 2 , 1 2 |f(x)| = \dfrac{3}{2} , \dfrac{1}{2} , we have 6 + 2 = 8 6 + 2 = 8 total solutions for x ∈ R x \in \mathbb R

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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