Question

the graph of a function f is shown below. find f(0).

Explanation:

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

To find \( f(0) \), we need to determine the \( y \)-value of the function \( f \) when \( x = 0 \). This corresponds to the point on the graph where the \( x \)-coordinate is 0.

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

Looking at the given graph, we find the vertical line \( x = 0 \) (the \( y \)-axis). Then we identify the point where the graph intersects this line. From the graph, when \( x = 0 \), the \( y \)-value (the height of the graph at \( x = 0 \)) is 2.

Answer:

\( f(0) = 2 \)