Is #f(x) = (x +1)^3# a linear function?

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Answer 1 · 2017-04-27T17:43:04

NO, #f(x)=x^3-x^2+5# is not Linear Function.

Linear funs. are of the type, #F(x)=ax+b, ane0.#

Answer 2 · 2017-04-27T17:46:51

No, #f(x)# is not a linear function.

A linear function, like #y = x + 1#, would be graphically represented by a straight line.

graph{y = x+ 1 [-10, 10, -5, 5]}

Functions such as #f(x)# are called polynomial and always have points of inflection and turning points. Here is #f(x)#:

graph{x^3 - x^2 + 5 [-20, 20, -10, 10]}

Hopefully this helps!