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Chapter 2: Q. 34 (page 90)

Determine algebraically whether each function is even, odd, or neither.

fx=2x4-x2

Short Answer

Expert verified

fxis an even function.

Step by step solution

01

Given information.

The function:fx=2x4-x2

02

Write definition of even function and odd function.

  • A function fxis said to be an even function if f-x=fx.
  • A function fxis said to be an odd function if f-x=-fx.
03

Calculate f-x.

Replace xby -xinto the given function fx=2x4-x2.

f-x=2-x4--x2=2x4-x2=fx

As , f-x=fx

So, by definitionfxis an even function.

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