Provide an Appropriate Response $f ( x ) = 4 x ^ { 3 } - 3 x - 4$

Essay

Provide an appropriate response.
-Explain why the following five statements ask for the same information.
(a) Find the roots of $f ( x ) = 4 x ^ { 3 } - 3 x - 4$ .
(b) Find the $x$ -coordinate of the points where the curve $y = 4 x ^ { 3 }$ crosses the line $y = 3 x + 4$ .
(c) Find all the values of $x$ for which $4 x ^ { 3 } - 3 x = 4$ .
(d) Find the $x$ -coordinates of the points where the cubic curve $y = 4 x ^ { 3 } - 3 x$ crosses the line $y = 4$ .
(e) Solve the equation $4 x ^ { 3 } - 3 x - 4 = 0$ .