AlouraM46526 AlouraM46526
  • 25-10-2022
  • Mathematics
contestada

Determine algebraically ifthe function is even, odd, or neither.f(x)=3x-2

Respuesta :

ZareenaQ778378 ZareenaQ778378
  • 25-10-2022

A function is even if

[tex]f(-x)=f(x)[/tex]

A function is odd if

[tex]f(x)=-f(x)[/tex]

For the given question, we will test for both even and odd conditions

Step 1: Test for an even condition

[tex]\begin{gathered} f(-x)=3(-x)-2 \\ f(-x)=-3x-2 \\ \sin ce \\ f(-x)\ne f(x) \\ it\text{ is not an even function} \end{gathered}[/tex]

Step 2: Test for an odd function

[tex]undefined[/tex]

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