Which of the following is an odd function? f(x) = x3 + 5x2 + x
f (x) = StartRoot x EndRoot
f(x) = x2 + x
f(x) = –x

Step-by-step explanation:

When f(-x)= -f(x), then it is known as an odd function.

i)

Then,

i.e.

ii)

i.e.

iii)

i.e.

iv)

i.e.

Hence, f(x) is an odd function.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

it would be 6xy and -16xy.