To determine how many times the graph of the function \( f(x) = x(x + 2) \) crosses the x-axis, we need to find the values of \( x \) for which \( f(x) = 0 \).
Set the equation to zero:
\[ x(x + 2) = 0 \]
This equation can be solved by finding the roots. We can set each factor equal to zero:
- \( x = 0 \)
- \( x + 2 = 0 \) which gives \( x = -2 \)
Thus, the solutions are \( x = 0 \) and \( x = -2 \).
Since there are two distinct real roots where the function crosses the x-axis, the graph of \( f(x) = x(x + 2) \) crosses the x-axis 2 times.
Therefore, the answer is 2 times.