Question

the graph of the function f(x) is shown.

what is x when f(x) = 0?

5 -1.8
-1.2 0

Explanation:

Step1: Understand the problem

We need to find the value of \( x \) when \( f(x) = 0 \). This means we are looking for the \( x \)-intercept of the function \( f(x) \), i.e., the point where the graph of the function crosses the \( x \)-axis (where \( y = 0 \)).

Step2: Analyze the given points

Looking at the graph, we have the point \( (-1.8, 0) \). At this point, the \( y \)-coordinate (which is \( f(x) \)) is 0. So when \( f(x) = 0 \), the corresponding \( x \)-value is \( -1.8 \).

Let's check the other options:

• For \( x = 5 \), there is no point on the graph with \( x = 5 \) and \( f(x)=0 \).
• For \( x = -1.2 \), the point is \( (-1.2, 18.3) \), so \( f(-1.2)=18.3

eq0 \).

• For \( x = 0 \), the point is \( (0, 5) \), so \( f(0)=5

eq0 \).

Answer:

\( -1.8 \) (corresponding to the option: \( -1.8 \))