The function f(x) is shown on the graph.

Question

On a coordinate plane, a curved line shaped like a w, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), crosses the y-axis at (0, 12), and crosses the x-axis at (2, 0) and (3, 0).

What is f(0)?

12 only
2 and 3 only
–2, –1, 1, and 2 only
–2, –1, 1, 2 and 12

Answer 1

To find \( f(0) \), we should look at the point where the graph of the function intersects the y-axis. This is because the y-axis is where \( x = 0 \).

According to your description, the graph of \( f(x) \) crosses the y-axis at the point (0, 12). This means that when \( x = 0 \), the value of \( f(0) = 12 \).

Now let's analyze the options given:

1. 12 only - This is correct as \( f(0) = 12 \).
2. 2 and 3 only - This is incorrect as it doesn't include \( f(0) \).
3. –2, –1, 1, and 2 only - This is incorrect as it doesn't include \( f(0) \).
4. –2, –1, 1, 2 and 12 - This is incorrect because while it includes \( 12 \), it also includes values that do not reflect \( f(0) \).

Therefore, the correct answer is 12 only.