Question

the graph of the function f(x) is shown below. what is x when f(x)=0? (-1.2, 18.3) (-1.8, 0) (0, 5) (0.6, 2.5) -3 -2 -1 0 1 2 3 x -20 -16 -12 -8 -4 0 4 8 12 16 20 y options: -1.8, -1.2, 0, 5

Explanation:

Step1: Recall the meaning of \( f(x) = 0 \)

When \( f(x) = 0 \), we are looking for the \( x \)-value where the graph of the function intersects the \( x \)-axis (since the \( y \)-coordinate on the \( x \)-axis is 0).

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

Looking at the given graph, we can see a point labeled \( (-1.8, 0) \). This point lies on the \( x \)-axis (because its \( y \)-coordinate is 0), which means when \( x = -1.8 \), \( f(x) = 0 \).

Answer:

-1.8