Desmos is for donkeys

Geometry Level 3

Which of the given options does the graph represent?

Notation: ∣ ⋅ ∣ | \cdot | denotes the absolute value function .

∣ y ∣ = ∣ cos ⁡ x ∣ \mid y\mid\, =\, \mid \cos x \mid y = ∣ cos ⁡ x ∣ y =\,\mid\cos x\mid ∣ y ∣ = sin ⁡ x \mid y\mid \,=\, \sin x ∣ y ∣ = cos ⁡ x \mid y\mid \,=\, \cos x

Rohit Ner by Rohit Ner , 22, India

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1 solution

Info Web
Oct 1, 2020

Consider the equation |y|=cos x

  • Case 1: If y>0 , then in the graph y=cos x, upper half of the graph is taken since y>0.

  • Case 2: If y<0 , we need to multiply "y" by -1 to get rid of modulus sign. So -y=cos x or y=-cos x, in this graph (y=-cos x) only the lower half of it is taken since y<0.

Combining both the graphs of the two cases we get the graph shown in the question, i.e |y|=cos x.

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