Identifying a Function from Its Graph

★ 6/10functions trigonometry Casework Symmetry

Problem

The figure shows part of the graph of a function $f(x)$ . Determine, with proof, which of the following four expressions could produce this graph.

1. $f(x)=\sin(\tan x)$ 2. $f(x)=\tan(\sin x)$ 3. $f(x)=\cos(\tan x)$ 4. $f(x)=\tan(\cos x)$

Answer

Solution

Difficulty	6/10
Topics	functions, trigonometry, Casework, Symmetry

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