Question

Which functions are odd? Select all that apply.
(2 points)
Responses

f left-parenthesis x right-parenthesis equals negative one-half x superscript 4 baseline plus 5
Image with alt text: f left-parenthesis x right-parenthesis equals negative one-half x superscript 4 baseline plus 5

f left-parenthesis x right-parenthesis equals negative 8 x cubed plus 5 x
Image with alt text: f left-parenthesis x right-parenthesis equals negative 8 x cubed plus 5 x

Answer 1

The odd functions are functions that satisfy the property f(x) = -f(-x).

Only the second function, f(x) = -8x^3 + 5x, satisfies this property and is therefore odd.