Question

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

graph of a function f(x) with a grid, axes labeled x and y, and the curve passing through various points

what is f(0)?

• -2, -1, 1, and 2 only
• -2, -1, 1, 2, and 12
• 2 and 3 only
• 12 only

Explanation:

Step1: Understand \( f(0) \) meaning

\( f(0) \) is the value of the function \( f(x) \) when \( x = 0 \), which is the \( y \)-coordinate of the point on the graph where \( x = 0 \).

Step2: Locate \( x = 0 \) on graph

Looking at the graph, when \( x = 0 \) (the \( y \)-axis), the point on the graph of \( f(x) \) has a \( y \)-coordinate of 12. So \( f(0)=12 \).

Answer:

12 only