Based on the information you provided and the image of the graph, I can confirm that the value 3 is not in the range of the function.
Here's why:
The range of a function refers to the set of all possible output values it can produce.
Examining the graph, we can see that the function traces a line that passes above the x-axis for all x-values except one.
The only point where the line touches the x-axis is at approximately x = 2.5.
Therefore, for all other x-values, the function produces a positive y-value (the line is above the x-axis).
Analyzing the options you provided:
A. 0: The line does intersect the y-axis at y = 0, so 0 is in the range of the function.
B. 3: As mentioned previously, the line never touches the y-axis at y = 3, so 3 is not in the range of the function.
C. 4: The line intersects a vertical line at x = 4 at a y-value slightly above 4, so 4 is in the range of the function.
D. 5: Similar to option C, the line intersects a vertical line at x = 5 at a y-value slightly above 5, so 5 is in the range of the function.
Therefore, the only option that is not in the range of the function based on the given information is B. 3.