Answer:
Function \(y= x^3+x^2\) belongs to the cubic family.
Step-by-step 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.
