Determine whether the equation defines y as a function of x.
-$$x + y ^ { 3 } = 1$$
A) $y$ is a function of $x$
B) $y$ is not a function of $x$

Question

Quizplus · Accepted Answer

The equation defines y as a function of x since for every unique value of x, there is only one corresponding value of y that satisfies the equation. We can solve for y as follows: $$y ^ { 3 } = 1 - x $$ $$y = \sqrt [ 3 ] { 1 - x }$$ Therefore, y can be expressed solely in terms of x, indicating that y is a function of x.

Determine Whether the Equation Defines Y as a Function of X