Question

F (x) = [ -3 • (x + 1 )³] -2

a) The function is a cubic function.
b) The function is a linear function.
c) The function is a quadratic function.
d) The function is an exponential function.

Answer 1

F (x) = [-3 · (x + 1 )³] - 2 is a cubic function because its highest variable term is raised to the third power.

Step-by-step explanation:

The student's question asks about the classification of a function, specifically whether the function F (x) = [-3 · (x + 1 )³] - 2 is a cubic, linear, quadratic, or exponential function. This function is a cubic function because it involves the variable x raised to the third power (cubed) and no higher powers. The negative three coefficient and the subtraction of two do not change the fact that at its core, this function represents a cubic equation.