CPM Homework Help : CALC Problem 1-82

Are the following functions even, odd, or neither? Homework Help ✎
1. y = x^1/3
2. y = −x² + 4
3. y = x³ + x² + l

Hint (a):

Steps (a):

$\text{First, check if it is even:}$

$f(a)=a^{\frac{1}{3}}$

$f(-a)=(-a)^{\frac{1}{3}}=-a^{\frac{1}{3}}$

$\text{since }f(a) \neq f(-a),$

Step 2(a);

$f(x)\text{ IS NOT EVEN!}$

$\text{Next, check if it is odd:}$

$f(-a)=(-a)^{\frac{1}{3}}=-a^{\frac{1}{3}}$

$-f(a)=-a^{\frac{1}{3}}$

$\text{since }f(-a)= -f(a),{\ \ \ \ \ }f(x)\text{ IS ODD!}$

Hint (b):

Refer to the example in part (a). Be sure to simplify.

Hint (c):

Refer to the example in part (a). Be sure to simplify.