Question

question
the graph of y = f(x) is shown below. what are all of the real solutions of f(x) = 0?

answer attempt 1 out of 2

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Explanation:

Step1: Recall the definition of roots

The real solutions of \( f(x)=0 \) are the \( x \)-intercepts of the graph of \( y = f(x) \), i.e., the values of \( x \) where the graph crosses or touches the \( x \)-axis.

Step2: Identify \( x \)-intercepts from the graph

Looking at the graph, we observe that the curve intersects the \( x \)-axis at three points: when \( x = 0 \), \( x = 2 \), and \( x = 8 \). These are the values of \( x \) for which \( f(x)=0 \).

Answer:

\( x = 0 \), \( x = 2 \), \( x = 8 \)