Question

question
find the value of f(2).
y = f(x)
answer attempt 1 out of 2

Explanation:

Step1: Understand the problem

We need to find \( f(2) \), which means we need to find the \( y \)-value of the function \( y = f(x) \) when \( x = 2 \). This is done by looking at the graph of the function.

Step2: Locate \( x = 2 \) on the x - axis

On the given graph, we find the point where \( x = 2 \) on the x - axis. Then we look at the corresponding point on the graph of \( y=f(x) \).

Step3: Determine the y - value

For \( x = 2 \), we observe the graph. The part of the graph for \( x\geq0 \) seems to be a line passing through the origin. The slope of this line can be determined, but more simply, we can see that for \( x = 1 \), \( y = 1 \) (since it passes through the origin and has a slope of 1, as the line from \( (0,0) \) to \( (1,1) \) to \( (2,2) \) etc.). So when \( x = 2 \), the \( y \)-value (which is \( f(2) \)) is 2.

Answer:

2