Question

Classify these functions as even, odd, or neither even nor odd.

Answer 1

N, E, E, O, E

O

Explanation:

f(x) = 4x³ -3x² +5 -- has both even and odd degree terms, so is Neither even nor odd

f(x) = -7x² +1 -- has only even degree terms, so is Even

y = cos(-x) -- Cosine is an even function, so this is Even

y = csc(x) -- Cosecant is an odd function, so this is Odd

y = tan(x)/x -- both tan(x) and x are odd functions, so their ratio is Even

y = sin(x)/cos(x) -- = tan(x), an odd function, so is Odd