Let $f(x) = 2x^3 - 3x + 1$. Select the correct statements about the graph of the function $y = f(x)$. (1) The graph of $y = f(x)$ passes through the point $(1, 0)$ (2) The graph of $y = f(x)$ has only one intersection point with the $x$-axis (3) The point $(1, 0)$ is a center of symmetry of the graph of $y = f(x)$ (4) The graph of $y = f(x)$ approximates a straight line $y = 3x - 3$ near the center of symmetry (5) The graph of $y = 3x^3 - 6x^2 + 2x$ can be obtained from the graph of $y = f(x)$ by appropriate translation
Let $f(x) = 2x^3 - 3x + 1$. Select the correct statements about the graph of the function $y = f(x)$.\\
(1) The graph of $y = f(x)$ passes through the point $(1, 0)$\\
(2) The graph of $y = f(x)$ has only one intersection point with the $x$-axis\\
(3) The point $(1, 0)$ is a center of symmetry of the graph of $y = f(x)$\\
(4) The graph of $y = f(x)$ approximates a straight line $y = 3x - 3$ near the center of symmetry\\
(5) The graph of $y = 3x^3 - 6x^2 + 2x$ can be obtained from the graph of $y = f(x)$ by appropriate translation