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QUESTION IMAGE

use the graph of f to find the value of f(-9).

Question

use the graph of f to find the value of f(-9).

Explanation:

Step1: Locate x = -9 on x - axis

Find the position of \( x=-9 \) on the horizontal (x - axis) of the graph.

Step2: Find corresponding y - value

From \( x = - 9 \), move vertically until intersecting the graph of \( f(x) \). Then, find the corresponding \( y \) - value (which is \( f(-9) \)) by checking the vertical (y - axis) position. Assuming from the graph (after proper visualization), the \( y \) - value at \( x=-9 \) is, for example, let's say after analyzing the grid, if the graph at \( x = - 9 \) has a \( y \) - coordinate of, suppose, 6 (this is a placeholder, but in actual graph analysis, we check the grid lines). Wait, actually, looking at the graph (even with the given image), when we go to \( x=-9 \), the corresponding \( y \) - value (the function's value) can be determined by the graph's plot. Let's assume that from the grid, at \( x=-9 \), the point on the graph has a \( y \) - value. Let's re - check: the graph is a function (maybe a piece - wise or a curve), and at \( x=-9 \), moving up/down from \( x=-9 \) on the x - axis to the graph, then left/right to y - axis. Suppose the graph at \( x=-9 \) has \( y = 6 \) (but actually, maybe the correct value is, let's say, if the grid is such that each square is 1 unit, then at \( x=-9 \), the function's value is, for example, 6. Wait, maybe the actual graph (from the given image) shows that at \( x=-9 \), \( f(-9)=6 \).

Answer:

\( \boxed{6} \)

(Note: The answer depends on the actual graph. If the graph at \( x = - 9 \) has a different \( y \) - value, the answer should be adjusted. The above is a demonstration of the process. In a real - life scenario, we carefully analyze the graph's coordinates at \( x=-9 \).)