Question

question
the given function $f(x)$ is defined on the interval $-9, 9$ and represented by the graph below. find the x - value(s) at which the minimum value of $f(x)$ occurs.
answer attempt 1 out of 2
( \bigcirc ) jutli value ( \bigcirc ) no value
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Explanation:

Step1: Analyze the graph's lowest point

To find the minimum value of \( f(x) \) on \([-9,9]\), we look for the point with the smallest \( y \)-value. From the graph, the leftmost point (at \( x = -9 \)) has the lowest \( y \)-coordinate compared to other visible points (like the vertex at \( x = 2 \), the point at \( x = 9 \), etc.).

Step2: Confirm the x - value of the minimum

The left - most endpoint of the interval \([-9,9]\) is at \( x=-9 \), and this point has the lowest \( y \)-value on the graph of \( f(x) \) over the interval \([-9,9]\).

Answer:

\(-9\)