Question

show that itis even or odd function F(x)=2x+5​

Answer 1

To determine if a function is even/odd the following applies.

• If f(x) = f( -x) then f(x) is even , ∀x

Even functions have symmetry about the y-axis.

• If f( -x) = - f(x) then f(x) is odd , ∀x

Odd functions have symmetry about the origin.

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Test for even :

f( -x) =2(−x)5−3(−x)2+2=−2x5−3x2+2

since f(x) ≠ f( -x) , then f(x) is not even.

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Test for odd :

−f(x)=−(2x5−3x2+2)=−2x5+3x2−2

since -f(x) ≠ f( -x) , then f(x) is not odd.

Answer 2

Answer:

It is an odd function

Step-by-step explanation:

Given equation is 2x+5,

The sum of an even number (2x - because 2 multiplied by any number is even) and

odd number is odd.

for example, substitute x = 1 , x = 3

if x = 1, f(x) = 2(1) + 5 = 7

=> odd number

if x = 3, f(x) = 2(3) + 5 = 11

=> odd number

☆F(x)=2x+5 is an odd function