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score: 8/30 penalty: 1 off question find the value of f(-2). y = f(x) (…

Question

score: 8/30 penalty: 1 off
question
find the value of f(-2).
y = f(x)
(graph of a piecewise linear function with x-axis from -10 to 10 and y-axis from -10 to 10, showing two line segments: one decreasing from left, forming a vertex, then increasing to the right.)
answer attempt 1 out of 3
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Explanation:

Step1: Locate x = -2 on x - axis

Find the position of \( x=-2 \) on the horizontal (x - axis) of the graph.

Step2: Find corresponding y - value

From \( x = - 2 \), move vertically until intersecting the graph of \( y = f(x) \). The y - coordinate at this intersection point is the value of \( f(-2) \). By observing the graph, when \( x=-2 \), the point on the graph has a y - value of - 5.

Answer:

\( f(-2)=-5 \)