Question

Select the correct answer.

The function f(x) = -2x^5 + x^3 - 7x is an odd function. Which rule is satisfied by this function?
f(x)=f(-x)
f(x)= -f(x)
-f(x)=f(-x)
f(x)=f(x)^-1

Answer 1

• C. - f(x) = f( - x)

Explanation:

Property of the odd function is:

• - f(x) = f( - x)

Same applies to the given function:

• f(x) = -2x⁵ + x³ - 7x
• f(- x) = -2(-x)⁵ + (- x)³ - 7(-x) = 2x⁵ - x³ + 7x = - (2x⁵ + x³ - 7x) = - f(x)