Question

Determine whether the power function is even odd or neither f(x)=1/5x-11

Answer 1

exponent is 1
is one an even or an odd?

Answer 2

Exponent is -11

Answer 3

so it's like \(y=\frac{1}{5}x^{-11}\)?

Answer 4

Yes

Answer 5

alright :)

so let's see do you know the rule?
Replace x with -x then you'll have to compare it with the function f(x)
if the result is f(-x)=f(x) this function is an even
f(-x)=-f(x) odd
if they are not equal to f(x) nor -f(x) then its neither odd nor even

Answer 6

\(f(x)=1/5x^{-11}\)
sub x=-x
\(f(-x)=1/5(-x)^{-11}\)
\(f(-x)=-1/5x^{-11}\)
\(f(-x)=-f(x)\)

Answer 7

so it will be?

Answer 8

Neither???

Answer 9

No no no odd

Answer 10

yes

Answer 11

Thank you !😊

Answer 12

no problem :)