Question

the graph a function ( f ) is shown.
find ( f(-2) ).
( f(-2) = square )

Explanation:

Step1: Understand the problem

We need to find the value of the function \( f \) at \( x = -2 \), i.e., \( f(-2) \), from the given graph of the function.

Step2: Locate \( x = -2 \) on the x - axis

On the coordinate plane, the x - axis is the horizontal axis. We find the point where \( x=-2 \).

Step3: Find the corresponding y - value

For the function \( y = f(x) \), to find \( f(-2) \), we look at the y - coordinate of the point on the graph of \( f \) where \( x=-2 \). From the graph, when we move vertically (up or down) from \( x = - 2 \) on the x - axis until we meet the graph of the function, we can see that the corresponding \( y \) - value (which is \( f(-2) \)) is - 4.

Answer:

\( f(-2)=-4 \)