10-seconds challenge-11

Calculus Level 2

True or False:

The function f ( x ) = 3 f(x)=3 is an odd function.

This is a part of 10-seconds challenge .

False True

Yash Dev Lamba by Yash Dev Lamba , 23, India

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2 solutions

Yash Dev Lamba
Mar 12, 2016

All constant functions are even functions. Since f ( x ) = f ( − x ) f(x)=f(-x) .

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Another way to approach would be graphical.

An even function is symmetric about the y-axis .

Since, all constant functions satisfy this condition, they are grouped as even .

Pulkit Gupta - 5 years, 3 months ago

VEGETA SSJ2 VS SUPER VEGETO.

Manish Maharaj - 5 years, 1 month ago

f(x) is an odd function ⟺ f(x) = - f(-x) \text{f(x) is an odd function} \iff \text{f(x) = - f(-x) } \quad and this latter statement is false. Furthemore, If f : R → R is an even and an odd function then f(x) = 0. \text{If } f: \mathbb{R} \rightarrow \mathbb{R} \text{ is an even and an odd function then f(x) = 0.} And a constant function is an even function \text{ And a constant function is an even function}

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