Question

evaluate functions from a graph
score: 17/30 penalty: 1 off
question
find the value of f(5).
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 from the left, intersecting the x-axis at -5, going down to a vertex at (0, -6), and another from (0, -6) going up to intersect the x-axis at 7, then continuing upwards. the x-axis is labeled with integers from -10 to 10, y-axis similarly.)
answer attempt 1 out of 2

Explanation:

Step1: Locate x=5 on x-axis

Find the position of \( x = 5 \) on the horizontal (x) axis of the graph \( y = f(x) \).

Step2: Find corresponding y-value

From \( x = 5 \), move vertically (up or down) until intersecting the graph of \( y = f(x) \). The y - coordinate at this intersection is the value of \( f(5) \). By examining the graph, when \( x = 5 \), the point on the graph has a y - value of - 1 (since the graph is a piece - wise linear graph, and at \( x = 5 \), following the line segment, the y - coordinate is - 1).

Answer:

\(-1\)