Question

What is the function g(x), and how can it be defined by the equation g(x)=(x+k)³?

A.g(x) is a quadratic function, and the equation defines a parabola.
B.g(x) is a cubic function, and the equation defines a cubic curve.
C.g(x) is a linear function, and the equation defines a straight line.
D.g(x) is an exponential function, and the equation defines exponential growth.

Answer 1

The function g(x) defined by the equation g(x) = (x + k)³ is a cubic function and the equation defines a cubic curve.

Step-by-step explanation:

The function g(x) defined by the equation g(x) = (x + k)³ is a cubic function, which means it is a function of the form y = ax³ + bx² + cx + d.

In this case, the function has one term with a degree of 3, which makes it cubic. The equation defines a cubic curve on a graph.