Question

the function has three distinct real zeros.
the function has two distinct real zeros and two complex zeros.
the function has four distinct real zeros.
the function has one distinct real zero and two complex zeros.

Explanation:

Identify the x-intercepts from the graph

$$ \text{The graph intersects the } x\text{-axis at } x = -2, \quad x = 0, \quad x = 2 $$

Determine the number of distinct real zeros

$$ \text{Number of distinct real zeros} = 3 $$

Answer:

• The function has three distinct real zeros. (Correct answer)
• The function has two distinct real zeros and two complex zeros.
• The function has four distinct real zeros.
• The function has one distinct real zero and two complex zeros.