Part 1 of 7 Determine the graph's end behavior. Find the \( x \)-intercepts and \( y \)-intercept. Determine whether the graph has symmetry. Determine the graph of the function. \( f(x)=x^{3}+3 x^{2}-x-3 \)

The function \( f(x) = x^{3} + 3x^{2} - x - 3 \) is a cubic polynomial with the following characteristics: - **End Behavior:** As \( x \to +\infty \), \( f(x) \to +\infty \); as \( x \to -\infty \), \( f(x) \to -\infty \). - **\( x \)-intercepts:** \( (-3, 0) \), \( (-1, 0) \), and \( (1, 0) \). - **\( y \)-intercept:** \( (0, -3) \). - **Symmetry:** No symmetry (neither even nor odd). **Graph:** The cubic curve crosses the \( x \)-axis at the intercepts and passes through the \( y \)-intercept, extending upwards on the right and downwards on the left.