Question

Choose the following function that belongs to the cubing family. y = x 3 + x 2 y = x 2 - x y = x + 23 y = x + 3

Answer 1

Function
`y= x^3+x^2` belongs to the cubic family.

Explanation:

A.
`y= x^3+x^2`

`(x+y)^3= x^3+ 3x^2y+ 3x^2y+y^3`

Cubic family that family in which highest degree of polynomial is 3.

Therefore, in the given function the highest degree of polynomial is 3

Hence, the function belongs to the cubing family.

Option A is correct.

B.
`y= x^2-x`

The highest degree of polynomial is 2 .

Therefore, it does not belongs to cubic family .

Option B is false.

C. y=x+23

The given function is linear function .The degree of linear polynomial is 1.

Therefore, the function y=x+23 deos not belongs to cubic family.

Option C is false.

D. y=x+3

The given function is also linear function. The degree of linear function is 1.

Therefore, the function y=x+3 does not belongs to cubic family.

Option D is false.